India posted 571 in reply to Australia's first-innings total of 480 to claim a 91-run lead in the fourth and final Test on Sunday.
Virat Kohli top-scored for the home side with a mammoth 186 while opener Shubman Gill (128) also smashed a hundred.
Spinners Nathan Lyon and Todd Murphy claimed three wickets apiece for Australia.
For India, who lead the series 2-1, Shreyas Iyer could not bat because of back pain.
Netherlands win Group F, Japan and Sweden also through
The Netherlands scored two goals in the first seven minutes of the first half en route to a 3-1 victory over Tunisia on Thursday night in Kansas City in Group F, while Japan and Sweden drew 1-1 in Texas.
Beccacece hails Ecuador's biggest World Cup victory
Ecuador coach Sebastian Beccacece said all Ecuadoreans have a lot to celebrate on Thursday after the country's biggest World Cup result ever, coming from behind to beat Germany 2-1 and advance to the knockout stage.
New Zealand openers break record against England
New Zealand took control of the third Test at Trent Bridge with Tom Latham and Devon Conway setting a record partnership for the Kiwis against England on Thursday.
MENA Golf Tour confirms exemption categories for 2026/27 season
The MENA Golf Tour has confirmed the full list of exemption categories for the 2026/27 season, setting out how players can earn their place on a Tour that is opening up more routes to competition than ever before.
Mexico bounce Czechs out of World Cup with win
Mexico have continued their perfect start to the World Cup with a 3-0 romp against the Czech Republic on Wednesday, finishing their group-stage campaign with a flourish and killing off their tame opponents' hopes of making the knockouts.
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