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Finding the Third Proportional to 8,027,784 and 11,443,743

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Solution

The third proportional to 8,027,784 and 11,443,743 is: 16,313,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027,784 : 11,443,743 = 11,443,743 : x
  2. Step 2: Convert to fraction form
    8,027,784/11,443,743 = 11,443,743/x
  3. Step 3: Cross multiply
    8,027,784x = 11,443,743 × 11,443,743
  4. Step 4: Simplify right side
    8,027,784x = 130,959,253,850,049
  5. Step 5: Solve for x
    x = 130,959,253,850,049/8,027,784
  6. Step 6: Final answer
    x = 16,313,250.81

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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.