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Finding the Third Proportional to 2,912,671 and 6,192,758

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Solution

The third proportional to 2,912,671 and 6,192,758 is: 13,166,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,671 : 6,192,758 = 6,192,758 : x
  2. Step 2: Convert to fraction form
    2,912,671/6,192,758 = 6,192,758/x
  3. Step 3: Cross multiply
    2,912,671x = 6,192,758 × 6,192,758
  4. Step 4: Simplify right side
    2,912,671x = 38,350,251,646,564
  5. Step 5: Solve for x
    x = 38,350,251,646,564/2,912,671
  6. Step 6: Final answer
    x = 13,166,695.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.