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Finding the Third Proportional to 3,659,865 and 7,949,761

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Solution

The third proportional to 3,659,865 and 7,949,761 is: 17,268,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659,865 : 7,949,761 = 7,949,761 : x
  2. Step 2: Convert to fraction form
    3,659,865/7,949,761 = 7,949,761/x
  3. Step 3: Cross multiply
    3,659,865x = 7,949,761 × 7,949,761
  4. Step 4: Simplify right side
    3,659,865x = 63,198,699,957,121
  5. Step 5: Solve for x
    x = 63,198,699,957,121/3,659,865
  6. Step 6: Final answer
    x = 17,268,041.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.