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Finding the Third Proportional to 29,176,784 and 67,538,974

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Solution

The third proportional to 29,176,784 and 67,538,974 is: 156,340,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,176,784 : 67,538,974 = 67,538,974 : x
  2. Step 2: Convert to fraction form
    29,176,784/67,538,974 = 67,538,974/x
  3. Step 3: Cross multiply
    29,176,784x = 67,538,974 × 67,538,974
  4. Step 4: Simplify right side
    29,176,784x = 4,561,513,008,972,676
  5. Step 5: Solve for x
    x = 4,561,513,008,972,676/29,176,784
  6. Step 6: Final answer
    x = 156,340,500.34

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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.