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Finding the Third Proportional to 8,251,560 and 12,614,526

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Solution

The third proportional to 8,251,560 and 12,614,526 is: 19,284,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251,560 : 12,614,526 = 12,614,526 : x
  2. Step 2: Convert to fraction form
    8,251,560/12,614,526 = 12,614,526/x
  3. Step 3: Cross multiply
    8,251,560x = 12,614,526 × 12,614,526
  4. Step 4: Simplify right side
    8,251,560x = 159,126,266,204,676
  5. Step 5: Solve for x
    x = 159,126,266,204,676/8,251,560
  6. Step 6: Final answer
    x = 19,284,385.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.