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Finding the Third Proportional to 47,451,204 and 75,952,810

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Solution

The third proportional to 47,451,204 and 75,952,810 is: 121,573,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,451,204 : 75,952,810 = 75,952,810 : x
  2. Step 2: Convert to fraction form
    47,451,204/75,952,810 = 75,952,810/x
  3. Step 3: Cross multiply
    47,451,204x = 75,952,810 × 75,952,810
  4. Step 4: Simplify right side
    47,451,204x = 5,768,829,346,896,100
  5. Step 5: Solve for x
    x = 5,768,829,346,896,100/47,451,204
  6. Step 6: Final answer
    x = 121,573,929.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.