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Finding the Third Proportional to 37,301,982 and 80,272,668

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Solution

The third proportional to 37,301,982 and 80,272,668 is: 172,744,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,301,982 : 80,272,668 = 80,272,668 : x
  2. Step 2: Convert to fraction form
    37,301,982/80,272,668 = 80,272,668/x
  3. Step 3: Cross multiply
    37,301,982x = 80,272,668 × 80,272,668
  4. Step 4: Simplify right side
    37,301,982x = 6,443,701,227,838,224
  5. Step 5: Solve for x
    x = 6,443,701,227,838,224/37,301,982
  6. Step 6: Final answer
    x = 172,744,205.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.