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Finding the Third Proportional to 8,231,228 and 17,726,701

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Solution

The third proportional to 8,231,228 and 17,726,701 is: 38,176,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231,228 : 17,726,701 = 17,726,701 : x
  2. Step 2: Convert to fraction form
    8,231,228/17,726,701 = 17,726,701/x
  3. Step 3: Cross multiply
    8,231,228x = 17,726,701 × 17,726,701
  4. Step 4: Simplify right side
    8,231,228x = 314,235,928,343,401
  5. Step 5: Solve for x
    x = 314,235,928,343,401/8,231,228
  6. Step 6: Final answer
    x = 38,176,069.03

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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.