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Finding the Third Proportional to 3,839,734.13 and 8,294,402.53

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Solution

The third proportional to 3,839,734.13 and 8,294,402.53 is: 17,917,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839,734.13 : 8,294,402.53 = 8,294,402.53 : x
  2. Step 2: Convert to fraction form
    3,839,734.13/8,294,402.53 = 8,294,402.53/x
  3. Step 3: Cross multiply
    3,839,734.13x = 8,294,402.53 × 8,294,402.53
  4. Step 4: Simplify right side
    3,839,734.13x = 68,797,113,350,406.41
  5. Step 5: Solve for x
    x = 68,797,113,350,406.41/3,839,734.13
  6. Step 6: Final answer
    x = 17,917,155.49

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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.