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Finding the Third Proportional to 5,589,497 and 8,412,231

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Solution

The third proportional to 5,589,497 and 8,412,231 is: 12,660,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589,497 : 8,412,231 = 8,412,231 : x
  2. Step 2: Convert to fraction form
    5,589,497/8,412,231 = 8,412,231/x
  3. Step 3: Cross multiply
    5,589,497x = 8,412,231 × 8,412,231
  4. Step 4: Simplify right side
    5,589,497x = 70,765,630,397,361
  5. Step 5: Solve for x
    x = 70,765,630,397,361/5,589,497
  6. Step 6: Final answer
    x = 12,660,464.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.