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Finding the Third Proportional to 33,964,560 and 71,762,720

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Solution

The third proportional to 33,964,560 and 71,762,720 is: 151,625,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,964,560 : 71,762,720 = 71,762,720 : x
  2. Step 2: Convert to fraction form
    33,964,560/71,762,720 = 71,762,720/x
  3. Step 3: Cross multiply
    33,964,560x = 71,762,720 × 71,762,720
  4. Step 4: Simplify right side
    33,964,560x = 5,149,887,981,798,400
  5. Step 5: Solve for x
    x = 5,149,887,981,798,400/33,964,560
  6. Step 6: Final answer
    x = 151,625,340.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.