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Finding the Third Proportional to 6,951,644 and 14,538,876

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Solution

The third proportional to 6,951,644 and 14,538,876 is: 30,407,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951,644 : 14,538,876 = 14,538,876 : x
  2. Step 2: Convert to fraction form
    6,951,644/14,538,876 = 14,538,876/x
  3. Step 3: Cross multiply
    6,951,644x = 14,538,876 × 14,538,876
  4. Step 4: Simplify right side
    6,951,644x = 211,378,915,343,376
  5. Step 5: Solve for x
    x = 211,378,915,343,376/6,951,644
  6. Step 6: Final answer
    x = 30,407,039.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.