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Finding the Third Proportional to 4,591,127.25 and 6,862,701.38

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Solution

The third proportional to 4,591,127.25 and 6,862,701.38 is: 10,258,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591,127.25 : 6,862,701.38 = 6,862,701.38 : x
  2. Step 2: Convert to fraction form
    4,591,127.25/6,862,701.38 = 6,862,701.38/x
  3. Step 3: Cross multiply
    4,591,127.25x = 6,862,701.38 × 6,862,701.38
  4. Step 4: Simplify right side
    4,591,127.25x = 47,096,670,162,426.89
  5. Step 5: Solve for x
    x = 47,096,670,162,426.89/4,591,127.25
  6. Step 6: Final answer
    x = 10,258,193.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.