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Finding the Third Proportional to 6,862,338 and 9,148,743

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Solution

The third proportional to 6,862,338 and 9,148,743 is: 12,196,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,338 : 9,148,743 = 9,148,743 : x
  2. Step 2: Convert to fraction form
    6,862,338/9,148,743 = 9,148,743/x
  3. Step 3: Cross multiply
    6,862,338x = 9,148,743 × 9,148,743
  4. Step 4: Simplify right side
    6,862,338x = 83,699,498,480,049
  5. Step 5: Solve for x
    x = 83,699,498,480,049/6,862,338
  6. Step 6: Final answer
    x = 12,196,936.16

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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.