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Finding the Third Proportional to 2,498,214.66 and 5,192,689.78

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Solution

The third proportional to 2,498,214.66 and 5,192,689.78 is: 10,793,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498,214.66 : 5,192,689.78 = 5,192,689.78 : x
  2. Step 2: Convert to fraction form
    2,498,214.66/5,192,689.78 = 5,192,689.78/x
  3. Step 3: Cross multiply
    2,498,214.66x = 5,192,689.78 × 5,192,689.78
  4. Step 4: Simplify right side
    2,498,214.66x = 26,964,027,164,298.17
  5. Step 5: Solve for x
    x = 26,964,027,164,298.17/2,498,214.66
  6. Step 6: Final answer
    x = 10,793,318.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.