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Finding the Third Proportional to 29,176,774 and 67,538,949

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Solution

The third proportional to 29,176,774 and 67,538,949 is: 156,340,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,176,774 : 67,538,949 = 67,538,949 : x
  2. Step 2: Convert to fraction form
    29,176,774/67,538,949 = 67,538,949/x
  3. Step 3: Cross multiply
    29,176,774x = 67,538,949 × 67,538,949
  4. Step 4: Simplify right side
    29,176,774x = 4,561,509,632,024,601
  5. Step 5: Solve for x
    x = 4,561,509,632,024,601/29,176,774
  6. Step 6: Final answer
    x = 156,340,438.19

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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.