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Finding the Third Proportional to 29,176,767 and 67,538,934

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Solution

The third proportional to 29,176,767 and 67,538,934 is: 156,340,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,176,767 : 67,538,934 = 67,538,934 : x
  2. Step 2: Convert to fraction form
    29,176,767/67,538,934 = 67,538,934/x
  3. Step 3: Cross multiply
    29,176,767x = 67,538,934 × 67,538,934
  4. Step 4: Simplify right side
    29,176,767x = 4,561,507,605,856,356
  5. Step 5: Solve for x
    x = 4,561,507,605,856,356/29,176,767
  6. Step 6: Final answer
    x = 156,340,406.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.