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Finding the Third Proportional to 2,912,665 and 6,192,746

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Solution

The third proportional to 2,912,665 and 6,192,746 is: 13,166,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,665 : 6,192,746 = 6,192,746 : x
  2. Step 2: Convert to fraction form
    2,912,665/6,192,746 = 6,192,746/x
  3. Step 3: Cross multiply
    2,912,665x = 6,192,746 × 6,192,746
  4. Step 4: Simplify right side
    2,912,665x = 38,350,103,020,516
  5. Step 5: Solve for x
    x = 38,350,103,020,516/2,912,665
  6. Step 6: Final answer
    x = 13,166,671.42

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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.