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Finding the Third Proportional to 8,524,965 and 18,265,902

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Solution

The third proportional to 8,524,965 and 18,265,902 is: 39,137,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524,965 : 18,265,902 = 18,265,902 : x
  2. Step 2: Convert to fraction form
    8,524,965/18,265,902 = 18,265,902/x
  3. Step 3: Cross multiply
    8,524,965x = 18,265,902 × 18,265,902
  4. Step 4: Simplify right side
    8,524,965x = 333,643,175,873,604
  5. Step 5: Solve for x
    x = 333,643,175,873,604/8,524,965
  6. Step 6: Final answer
    x = 39,137,190.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.