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[tex]\overline{ababab} = 10000\overline{ab} + 100\overline{ab} + \overline{ab} = 10101\overline{ab}[/tex]
[tex]\overline{cdcdcd} = 10000\overline{cd} + 100\overline{cd} + \overline{cd} = 10101\overline{ab}[/tex]
Proporția se scrie:
[tex]\dfrac{}{}[/tex][tex]\dfrac{\overline{ababab}}{\overline{cdcdcd}} = \dfrac{x}{5} \Rightarrow \dfrac{10101\overline{ab}}{10101\overline{cd}} = \dfrac{x}{5}[/tex]
Pentru [tex]\overline{ab} = 3 \cdot \overline{cd}[/tex]
[tex]\Rightarrow \dfrac{3\overline{cd}}{\overline{cd}} = \dfrac{x}{5} \Rightarrow \dfrac{3}{1} = \dfrac{x}{5} \Rightarrow x = 3 \cdot 5[/tex]
[tex]\Rightarrow \bf x = 15[/tex]
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