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Finding the Third Proportional to 5,785,671 and 12,442,092

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Solution

The third proportional to 5,785,671 and 12,442,092 is: 26,756,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785,671 : 12,442,092 = 12,442,092 : x
  2. Step 2: Convert to fraction form
    5,785,671/12,442,092 = 12,442,092/x
  3. Step 3: Cross multiply
    5,785,671x = 12,442,092 × 12,442,092
  4. Step 4: Simplify right side
    5,785,671x = 154,805,653,336,464
  5. Step 5: Solve for x
    x = 154,805,653,336,464/5,785,671
  6. Step 6: Final answer
    x = 26,756,732.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.