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Finding the Third Proportional to 52,442,613 and 82,266,982.88

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Solution

The third proportional to 52,442,613 and 82,266,982.88 is: 129,052,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,442,613 : 82,266,982.88 = 82,266,982.88 : x
  2. Step 2: Convert to fraction form
    52,442,613/82,266,982.88 = 82,266,982.88/x
  3. Step 3: Cross multiply
    52,442,613x = 82,266,982.88 × 82,266,982.88
  4. Step 4: Simplify right side
    52,442,613x = 6,767,856,471,355,543
  5. Step 5: Solve for x
    x = 6,767,856,471,355,543/52,442,613
  6. Step 6: Final answer
    x = 129,052,617.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.