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Finding the Third Proportional to 3,493,874 and 7,407,634

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Solution

The third proportional to 3,493,874 and 7,407,634 is: 15,705,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493,874 : 7,407,634 = 7,407,634 : x
  2. Step 2: Convert to fraction form
    3,493,874/7,407,634 = 7,407,634/x
  3. Step 3: Cross multiply
    3,493,874x = 7,407,634 × 7,407,634
  4. Step 4: Simplify right side
    3,493,874x = 54,873,041,477,956
  5. Step 5: Solve for x
    x = 54,873,041,477,956/3,493,874
  6. Step 6: Final answer
    x = 15,705,500.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.