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Finding the Third Proportional to 3,806,129.25 and 8,206,418.81

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Solution

The third proportional to 3,806,129.25 and 8,206,418.81 is: 17,693,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806,129.25 : 8,206,418.81 = 8,206,418.81 : x
  2. Step 2: Convert to fraction form
    3,806,129.25/8,206,418.81 = 8,206,418.81/x
  3. Step 3: Cross multiply
    3,806,129.25x = 8,206,418.81 × 8,206,418.81
  4. Step 4: Simplify right side
    3,806,129.25x = 67,345,309,726,153.91
  5. Step 5: Solve for x
    x = 67,345,309,726,153.91/3,806,129.25
  6. Step 6: Final answer
    x = 17,693,910.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.