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Finding the Third Proportional to 50,207,956 and 77,584,080

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Solution

The third proportional to 50,207,956 and 77,584,080 is: 119,887,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,207,956 : 77,584,080 = 77,584,080 : x
  2. Step 2: Convert to fraction form
    50,207,956/77,584,080 = 77,584,080/x
  3. Step 3: Cross multiply
    50,207,956x = 77,584,080 × 77,584,080
  4. Step 4: Simplify right side
    50,207,956x = 6,019,289,469,446,400
  5. Step 5: Solve for x
    x = 6,019,289,469,446,400/50,207,956
  6. Step 6: Final answer
    x = 119,887,164.29

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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.