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Finding the Third Proportional to 8,251,762 and 12,393,231

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Solution

The third proportional to 8,251,762 and 12,393,231 is: 18,613,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251,762 : 12,393,231 = 12,393,231 : x
  2. Step 2: Convert to fraction form
    8,251,762/12,393,231 = 12,393,231/x
  3. Step 3: Cross multiply
    8,251,762x = 12,393,231 × 12,393,231
  4. Step 4: Simplify right side
    8,251,762x = 153,592,174,619,361
  5. Step 5: Solve for x
    x = 153,592,174,619,361/8,251,762
  6. Step 6: Final answer
    x = 18,613,257.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.