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Finding the Third Proportional to 6,862,350 and 9,148,761

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Solution

The third proportional to 6,862,350 and 9,148,761 is: 12,196,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,350 : 9,148,761 = 9,148,761 : x
  2. Step 2: Convert to fraction form
    6,862,350/9,148,761 = 9,148,761/x
  3. Step 3: Cross multiply
    6,862,350x = 9,148,761 × 9,148,761
  4. Step 4: Simplify right side
    6,862,350x = 83,699,827,835,121
  5. Step 5: Solve for x
    x = 83,699,827,835,121/6,862,350
  6. Step 6: Final answer
    x = 12,196,962.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.