1. **State the problem:** Calculate the product of 27 and 3. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$. 3. **Apply the formula:** Here, $a=27$ and $b=3$, so we calculate $27 \times 3$. 4. **Intermediate work:** $$27 \times 3 = 81$$ 5. **Explanation:** Multiplying 27 by 3 means adding 27 three times: $27 + 27 + 27 = 81$. 6. **Final answer:** $$\boxed{81}$$