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Finding the Third Proportional to 37,832,074 and 81,466,424

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Solution

The third proportional to 37,832,074 and 81,466,424 is: 175,427,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832,074 : 81,466,424 = 81,466,424 : x
  2. Step 2: Convert to fraction form
    37,832,074/81,466,424 = 81,466,424/x
  3. Step 3: Cross multiply
    37,832,074x = 81,466,424 × 81,466,424
  4. Step 4: Simplify right side
    37,832,074x = 6,636,778,239,347,776
  5. Step 5: Solve for x
    x = 6,636,778,239,347,776/37,832,074
  6. Step 6: Final answer
    x = 175,427,290.59

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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.