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Finding the Third Proportional to 50,207,990 and 77,584,107

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Solution

The third proportional to 50,207,990 and 77,584,107 is: 119,887,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207,990 : 77,584,107 = 77,584,107 : x
  2. Step 2: Convert to fraction form
    50,207,990/77,584,107 = 77,584,107/x
  3. Step 3: Cross multiply
    50,207,990x = 77,584,107 × 77,584,107
  4. Step 4: Simplify right side
    50,207,990x = 6,019,293,658,987,449
  5. Step 5: Solve for x
    x = 6,019,293,658,987,449/50,207,990
  6. Step 6: Final answer
    x = 119,887,166.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.