There are numerous synonyms for the term "grow rapidly," which means to increase or expand quickly. Some of these synonyms include burgeon, flourish, boom, escalate, surge, soar, proliferate, multiply, snowball, balloon, and mushroom. When a business or market grows rapidly, it is often referred to as rapid or accelerated growth. Similarly, when the population or economy of a city or country grows rapidly, it is said to be experiencing a population or economic boom. Meanwhile, the term "expansion," which means the act of becoming larger or more extensive, is also a synonym for growing rapidly.