他豪迈地挥着手，描述着整个项目的宏伟愿景。

He waved his hand ___expansively while describing the grand vision of the entire project.

她热情洋溢地谈论着新项目，滔滔不绝地分享所有想法。

She talked ___expansively about the new project, pouring out all her ideas.

他们购物时总是大手大脚，从不看价格标签。

They shop ___extravagantly, never looking at price tags.