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Finding the Third Proportional to 31,715,286.75 and 50,465,780

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Solution

The third proportional to 31,715,286.75 and 50,465,780 is: 80,301,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715,286.75 : 50,465,780 = 50,465,780 : x
  2. Step 2: Convert to fraction form
    31,715,286.75/50,465,780 = 50,465,780/x
  3. Step 3: Cross multiply
    31,715,286.75x = 50,465,780 × 50,465,780
  4. Step 4: Simplify right side
    31,715,286.75x = 2,546,794,951,008,400
  5. Step 5: Solve for x
    x = 2,546,794,951,008,400/31,715,286.75
  6. Step 6: Final answer
    x = 80,301,810.64

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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.