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Finding the Third Proportional to 37,735,872 and 80,853,402

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Solution

The third proportional to 37,735,872 and 80,853,402 is: 173,237,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735,872 : 80,853,402 = 80,853,402 : x
  2. Step 2: Convert to fraction form
    37,735,872/80,853,402 = 80,853,402/x
  3. Step 3: Cross multiply
    37,735,872x = 80,853,402 × 80,853,402
  4. Step 4: Simplify right side
    37,735,872x = 6,537,272,614,973,604
  5. Step 5: Solve for x
    x = 6,537,272,614,973,604/37,735,872
  6. Step 6: Final answer
    x = 173,237,618.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.