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Finding the Third Proportional to 5,251,785.75 and 11,399,881.50

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Solution

The third proportional to 5,251,785.75 and 11,399,881.50 is: 24,745,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251,785.75 : 11,399,881.50 = 11,399,881.50 : x
  2. Step 2: Convert to fraction form
    5,251,785.75/11,399,881.50 = 11,399,881.50/x
  3. Step 3: Cross multiply
    5,251,785.75x = 11,399,881.50 × 11,399,881.50
  4. Step 4: Simplify right side
    5,251,785.75x = 129,957,298,214,042.25
  5. Step 5: Solve for x
    x = 129,957,298,214,042.25/5,251,785.75
  6. Step 6: Final answer
    x = 24,745,354.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.