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Finding the Third Proportional to 37,307,400 and 80,283,503.25

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Solution

The third proportional to 37,307,400 and 80,283,503.25 is: 172,765,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,307,400 : 80,283,503.25 = 80,283,503.25 : x
  2. Step 2: Convert to fraction form
    37,307,400/80,283,503.25 = 80,283,503.25/x
  3. Step 3: Cross multiply
    37,307,400x = 80,283,503.25 × 80,283,503.25
  4. Step 4: Simplify right side
    37,307,400x = 6,445,440,894,092,761
  5. Step 5: Solve for x
    x = 6,445,440,894,092,761/37,307,400
  6. Step 6: Final answer
    x = 172,765,748.73

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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.