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Finding the Third Proportional to 42,107,778 and 63,472,716

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Solution

The third proportional to 42,107,778 and 63,472,716 is: 95,677,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,107,778 : 63,472,716 = 63,472,716 : x
  2. Step 2: Convert to fraction form
    42,107,778/63,472,716 = 63,472,716/x
  3. Step 3: Cross multiply
    42,107,778x = 63,472,716 × 63,472,716
  4. Step 4: Simplify right side
    42,107,778x = 4,028,785,676,416,656
  5. Step 5: Solve for x
    x = 4,028,785,676,416,656/42,107,778
  6. Step 6: Final answer
    x = 95,677,945.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.