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Finding the Third Proportional to 3,427,651.69 and 5,324,507.16

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Solution

The third proportional to 3,427,651.69 and 5,324,507.16 is: 8,271,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,651.69 : 5,324,507.16 = 5,324,507.16 : x
  2. Step 2: Convert to fraction form
    3,427,651.69/5,324,507.16 = 5,324,507.16/x
  3. Step 3: Cross multiply
    3,427,651.69x = 5,324,507.16 × 5,324,507.16
  4. Step 4: Simplify right side
    3,427,651.69x = 28,350,376,456,957.46
  5. Step 5: Solve for x
    x = 28,350,376,456,957.46/3,427,651.69
  6. Step 6: Final answer
    x = 8,271,078.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.