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Finding the Third Proportional to 12,578,646 and 26,951,178

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Solution

The third proportional to 12,578,646 and 26,951,178 is: 57,745,960.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578,646 : 26,951,178 = 26,951,178 : x
  2. Step 2: Convert to fraction form
    12,578,646/26,951,178 = 26,951,178/x
  3. Step 3: Cross multiply
    12,578,646x = 26,951,178 × 26,951,178
  4. Step 4: Simplify right side
    12,578,646x = 726,365,995,587,684
  5. Step 5: Solve for x
    x = 726,365,995,587,684/12,578,646
  6. Step 6: Final answer
    x = 57,745,960.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.