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Finding the Third Proportional to 8,251,568 and 12,614,540

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Solution

The third proportional to 8,251,568 and 12,614,540 is: 19,284,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251,568 : 12,614,540 = 12,614,540 : x
  2. Step 2: Convert to fraction form
    8,251,568/12,614,540 = 12,614,540/x
  3. Step 3: Cross multiply
    8,251,568x = 12,614,540 × 12,614,540
  4. Step 4: Simplify right side
    8,251,568x = 159,126,619,411,600
  5. Step 5: Solve for x
    x = 159,126,619,411,600/8,251,568
  6. Step 6: Final answer
    x = 19,284,409.87

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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.