The meaning of "the company has risen rapidly within a few years" has risen.

After "rising", it will be more prominent and eye-catching, so "rising" means "becoming eye-catching" Generally speaking, people's attention will only be aroused if certain achievements are made, so "the rapid rise of the company in a few years" means that the company has made remarkable achievements, gained certain influence and attracted attention after several years of development. Generally speaking, it is famous.