To multiply two real numbers, simply multiply them directly.
We are given two real numbers to multiply: \[ a = -5.6 \quad \text{and} \quad b = 7.4 \]
To find the product of \(a\) and \(b\), we perform the multiplication: \[ (-5.6) \times 7.4 \]
The product of \(-5.6\) and \(7.4\) is: \[ -5.6 \times 7.4 = -41.44 \]
\[ \boxed{-41.44} \]
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