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Finding the Third Proportional to 47,755,269 and 75,740,089.50

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Solution

The third proportional to 47,755,269 and 75,740,089.50 is: 120,124,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755,269 : 75,740,089.50 = 75,740,089.50 : x
  2. Step 2: Convert to fraction form
    47,755,269/75,740,089.50 = 75,740,089.50/x
  3. Step 3: Cross multiply
    47,755,269x = 75,740,089.50 × 75,740,089.50
  4. Step 4: Simplify right side
    47,755,269x = 5,736,561,157,468,010
  5. Step 5: Solve for x
    x = 5,736,561,157,468,010/47,755,269
  6. Step 6: Final answer
    x = 120,124,151.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.