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Finding the Third Proportional to 3,238,160 and 6,974,680

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Solution

The third proportional to 3,238,160 and 6,974,680 is: 15,022,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,160 : 6,974,680 = 6,974,680 : x
  2. Step 2: Convert to fraction form
    3,238,160/6,974,680 = 6,974,680/x
  3. Step 3: Cross multiply
    3,238,160x = 6,974,680 × 6,974,680
  4. Step 4: Simplify right side
    3,238,160x = 48,646,161,102,400
  5. Step 5: Solve for x
    x = 48,646,161,102,400/3,238,160
  6. Step 6: Final answer
    x = 15,022,778.71

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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.