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Finding the Third Proportional to 3,337,656 and 7,178,295

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Solution

The third proportional to 3,337,656 and 7,178,295 is: 15,438,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337,656 : 7,178,295 = 7,178,295 : x
  2. Step 2: Convert to fraction form
    3,337,656/7,178,295 = 7,178,295/x
  3. Step 3: Cross multiply
    3,337,656x = 7,178,295 × 7,178,295
  4. Step 4: Simplify right side
    3,337,656x = 51,527,919,107,025
  5. Step 5: Solve for x
    x = 51,527,919,107,025/3,337,656
  6. Step 6: Final answer
    x = 15,438,355.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.