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Finding the Third Proportional to 3,865,107 and 8,197,926

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Solution

The third proportional to 3,865,107 and 8,197,926 is: 17,387,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,107 : 8,197,926 = 8,197,926 : x
  2. Step 2: Convert to fraction form
    3,865,107/8,197,926 = 8,197,926/x
  3. Step 3: Cross multiply
    3,865,107x = 8,197,926 × 8,197,926
  4. Step 4: Simplify right side
    3,865,107x = 67,205,990,701,476
  5. Step 5: Solve for x
    x = 67,205,990,701,476/3,865,107
  6. Step 6: Final answer
    x = 17,387,873.27

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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.