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Finding the Third Proportional to 39,698,822 and 85,992,902

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Solution

The third proportional to 39,698,822 and 85,992,902 is: 186,272,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,698,822 : 85,992,902 = 85,992,902 : x
  2. Step 2: Convert to fraction form
    39,698,822/85,992,902 = 85,992,902/x
  3. Step 3: Cross multiply
    39,698,822x = 85,992,902 × 85,992,902
  4. Step 4: Simplify right side
    39,698,822x = 7,394,779,194,381,604
  5. Step 5: Solve for x
    x = 7,394,779,194,381,604/39,698,822
  6. Step 6: Final answer
    x = 186,272,005.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.