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Finding the Third Proportional to 3,862,158.47 and 5,675,003.02

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Solution

The third proportional to 3,862,158.47 and 5,675,003.02 is: 8,338,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862,158.47 : 5,675,003.02 = 5,675,003.02 : x
  2. Step 2: Convert to fraction form
    3,862,158.47/5,675,003.02 = 5,675,003.02/x
  3. Step 3: Cross multiply
    3,862,158.47x = 5,675,003.02 × 5,675,003.02
  4. Step 4: Simplify right side
    3,862,158.47x = 32,205,659,227,352.84
  5. Step 5: Solve for x
    x = 32,205,659,227,352.84/3,862,158.47
  6. Step 6: Final answer
    x = 8,338,772.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.