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Finding the Third Proportional to 52,500,534.75 and 82,170,298.13

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Solution

The third proportional to 52,500,534.75 and 82,170,298.13 is: 128,607,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,500,534.75 : 82,170,298.13 = 82,170,298.13 : x
  2. Step 2: Convert to fraction form
    52,500,534.75/82,170,298.13 = 82,170,298.13/x
  3. Step 3: Cross multiply
    52,500,534.75x = 82,170,298.13 × 82,170,298.13
  4. Step 4: Simplify right side
    52,500,534.75x = 6,751,957,893,951,379
  5. Step 5: Solve for x
    x = 6,751,957,893,951,379/52,500,534.75
  6. Step 6: Final answer
    x = 128,607,411.83

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