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Finding the Third Proportional to 8,027,713 and 11,443,647

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Solution

The third proportional to 8,027,713 and 11,443,647 is: 16,313,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027,713 : 11,443,647 = 11,443,647 : x
  2. Step 2: Convert to fraction form
    8,027,713/11,443,647 = 11,443,647/x
  3. Step 3: Cross multiply
    8,027,713x = 11,443,647 × 11,443,647
  4. Step 4: Simplify right side
    8,027,713x = 130,957,056,660,609
  5. Step 5: Solve for x
    x = 130,957,056,660,609/8,027,713
  6. Step 6: Final answer
    x = 16,313,121.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.