1. The problem is to find the product of 61 and 63. 2. We use the multiplication formula: $$a \times b$$ where $a=61$ and $b=63$. 3. Multiply the numbers directly: $$61 \times 63$$. 4. Calculate step-by-step: $$61 \times 63 = 61 \times (60 + 3) = 61 \times 60 + 61 \times 3$$ $$= 3660 + 183 = 3843$$. 5. Therefore, the product of 61 and 63 is $$3843$$.