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Finding the Third Proportional to 38,564,676 and 51,181,038

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Solution

The third proportional to 38,564,676 and 51,181,038 is: 67,924,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564,676 : 51,181,038 = 51,181,038 : x
  2. Step 2: Convert to fraction form
    38,564,676/51,181,038 = 51,181,038/x
  3. Step 3: Cross multiply
    38,564,676x = 51,181,038 × 51,181,038
  4. Step 4: Simplify right side
    38,564,676x = 2,619,498,650,757,444
  5. Step 5: Solve for x
    x = 2,619,498,650,757,444/38,564,676
  6. Step 6: Final answer
    x = 67,924,819.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.