General:
* Outpace: To move or develop faster than.
* Surpass: To exceed in amount, degree, or quality.
* Exceed: To go beyond a limit or boundary.
* Outstrip: To move or develop faster than something else.
* Outgrow: To grow too large for something, often in a figurative sense.
Specific to size or growth:
* Outsize: Larger than usual or standard size.
* Oversize: Larger than the usual size.
* Magnify: To make something appear larger.
* Amplify: To increase the size or volume of something.
Figurative:
* Outshine: To be more brilliant or successful than.
* Outdo: To surpass someone in performance.
* Overtake: To become more successful or popular than.
The best word for your situation depends on the specific context and what you want to emphasize.