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Finding the Third Proportional to 8,363,906 and 11,777,847

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Solution

The third proportional to 8,363,906 and 11,777,847 is: 16,585,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363,906 : 11,777,847 = 11,777,847 : x
  2. Step 2: Convert to fraction form
    8,363,906/11,777,847 = 11,777,847/x
  3. Step 3: Cross multiply
    8,363,906x = 11,777,847 × 11,777,847
  4. Step 4: Simplify right side
    8,363,906x = 138,717,679,955,409
  5. Step 5: Solve for x
    x = 138,717,679,955,409/8,363,906
  6. Step 6: Final answer
    x = 16,585,274.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.