If the distance between two cities on a map is \( \mathbf{14\ cm} \), find the real distance between the two cities in kilometers if the scale drawing is \( \mathbf{1 : 300,\!000} \).
\[ \text{Scale drawing} = \frac{\text{distance on the map}}{\text{real distance}} \]
\[ \frac{1}{300,\!000} = \frac{14}{\text{real distance}} \]
\[ \text{The real distance} = \frac{14 \times 300,\!000}{1} \]
\[ = 4,\!200,\!000\ \text{cm} = \mathbf{42\ \text{km}} \]
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