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Finding the Third Proportional to 32,375,169 and 67,033,566

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Solution

The third proportional to 32,375,169 and 67,033,566 is: 138,794,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375,169 : 67,033,566 = 67,033,566 : x
  2. Step 2: Convert to fraction form
    32,375,169/67,033,566 = 67,033,566/x
  3. Step 3: Cross multiply
    32,375,169x = 67,033,566 × 67,033,566
  4. Step 4: Simplify right side
    32,375,169x = 4,493,498,970,676,356
  5. Step 5: Solve for x
    x = 4,493,498,970,676,356/32,375,169
  6. Step 6: Final answer
    x = 138,794,610.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.