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India will play Argentina in their first-ever Olympic semifinal appearance on Wednesday.
The skipper said a sense of belief and determination to success helped them achieve the historic feat.
"I think that belief like we can work really hard throughout the game... And this is only 60 minutes, just focus on the 60 minutes. Don't think further what will happen, just focus on 60 minutes, and give everything that you have got. And I think everyone did that, so yeah, I am super proud," Rani said.
She feels the victory over three-time Olympic champions Australia is "big" for the women's game in India and will inspire a generation to take up the sport in future.
"This will be a very big, big thing in India. Especially, you know, we have a team motto that means we want to inspire the young girls in India.
"And I'm really thankful to all people who supported us to be here, and I know people from India they are cheering in every game for us and they are praying a lot for us. So yeah, I am really thankful to all of them who supported us in this journey," she said.
The India captain said the win over Australia is a thing of the past now as their focus shifts to the remaining two games in the competition.
"We made history by just reaching the semifinals and now we are looking forward to the semifinals, because we don't want to just finish here.
"In this tournament there's two more games left for winning medals," she said.
Indian women's best performance at the Olympics came way back in the 1980 Moscow Games, where they finished fourth out of six teams.
In that edition of the Games, women's hockey made its debut and the sport was played in a round-robin format, with the top two teams qualifying for the final.