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Finding the Third Proportional to 37,791,379.13 and 82,904,834.25

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Solution

The third proportional to 37,791,379.13 and 82,904,834.25 is: 181,872,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,791,379.13 : 82,904,834.25 = 82,904,834.25 : x
  2. Step 2: Convert to fraction form
    37,791,379.13/82,904,834.25 = 82,904,834.25/x
  3. Step 3: Cross multiply
    37,791,379.13x = 82,904,834.25 × 82,904,834.25
  4. Step 4: Simplify right side
    37,791,379.13x = 6,873,211,542,019,973
  5. Step 5: Solve for x
    x = 6,873,211,542,019,973/37,791,379.13
  6. Step 6: Final answer
    x = 181,872,472.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.