Suddenly, Australia looked to be balanced, confident and capable, able to win game on three different pitches and in a variety of scenarios.
"It's huge", Khawaja said of the comeback.
Australia banked their first ODI series win in India since 2009, first overseas ODI series win since 2016, first ODI series win since 2017 and plenty of momentum in their march towards the World Cup.
Usman Khawaja (100) struck his second century in three ODIs as Australia rode to 272 for nine.
Australia's players celebrate the dismissal of India's captain Virat Kohli. "I think they (Smith and Warner) come back into the squad, but whether they play or not is not a done deal".
"The resilience and fight that we showed being down 0-2, it would have been easy to roll over in those small moments in the game, just let them drift away and India win the series", Finch said.
That put Australia firmly in the driving seat and, although Jadhav and Bhuvneshwar kept India's hopes alive with some late hitting, the tourists' quicks returned to wrap things up, building on the excellent work of Khawaja earlier in the day.
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But when Jadhav was dismissed off Jhye Richardson, India wilted under the climbing asking rate.
Cummins fired out Shikhar Dhawan with the new ball, Stoinis removed Kohli for 20 then Zampa hammered home Australia's advantage with three wickets in the space of 14 deliveries. Rohit Sharma, labouring his way to 56 off 89 balls, saw four of his teammates succumb to Australian bowlers' discipline, before he himself lost focus dancing down the track to Zampa, only to lose his wicket and his bat in the process. The right-hander not only missed the ball but also lost his bat, which slipped out of his palms, leaving Alex Carey with a simple stumping.
Australia's selectors suddenly have the good sort of headaches, rather than scrambling to find batsmen capable of delivering match-winning innings in the absence of Steve Smith and David Warner.
A 37-run win in the fifth and deciding ODI in Delhi was always in reach of Australia with a competitive score and tight bowling setting up the result. The left-hander scored the first two centuries of his ODI career to top the run-scoring charts with 383 at 76.6.
First time India have lost a five-match bilateral ODI series after leading 2-0. Australia next head to the UAE and will take on Pakistan in a five-match series, both sides' last engagement before that summer tournament.