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Finding the Third Proportional to 39,291,186.38 and 82,654,425

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Solution

The third proportional to 39,291,186.38 and 82,654,425 is: 173,874,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,291,186.38 : 82,654,425 = 82,654,425 : x
  2. Step 2: Convert to fraction form
    39,291,186.38/82,654,425 = 82,654,425/x
  3. Step 3: Cross multiply
    39,291,186.38x = 82,654,425 × 82,654,425
  4. Step 4: Simplify right side
    39,291,186.38x = 6,831,753,972,080,625
  5. Step 5: Solve for x
    x = 6,831,753,972,080,625/39,291,186.38
  6. Step 6: Final answer
    x = 173,874,973.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.