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Finding the Third Proportional to 3,386,142 and 7,231,512

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Solution

The third proportional to 3,386,142 and 7,231,512 is: 15,443,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386,142 : 7,231,512 = 7,231,512 : x
  2. Step 2: Convert to fraction form
    3,386,142/7,231,512 = 7,231,512/x
  3. Step 3: Cross multiply
    3,386,142x = 7,231,512 × 7,231,512
  4. Step 4: Simplify right side
    3,386,142x = 52,294,765,806,144
  5. Step 5: Solve for x
    x = 52,294,765,806,144/3,386,142
  6. Step 6: Final answer
    x = 15,443,760.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.