For physical size:
* Encompass: To include or surround a large area. "The vast forest encompassed the entire valley."
* Spread: To cover a wide area. "The wildfire spread rapidly, consuming acres of land."
* Extend: To reach out or continue for a long distance. "The river extends for hundreds of miles."
* Tower: To stand very high. "The skyscraper towers over the surrounding buildings."
* Bulge: To swell out or be abnormally large. "The balloon bulged with air."
For figurative size:
* Dominate: To be the most important or powerful. "The company dominates the market."
* Prevail: To be more successful or widespread than others. "The democratic party prevailed in the election."
* Expand: To increase in size or scope. "The company plans to expand its operations."
* Soar: To rise rapidly to a high level. "The company's profits soared this year."
The best verb to use will depend on the specific meaning you want to convey.