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Finding the Third Proportional to 8,363,896 and 11,777,836

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Solution

The third proportional to 8,363,896 and 11,777,836 is: 16,585,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363,896 : 11,777,836 = 11,777,836 : x
  2. Step 2: Convert to fraction form
    8,363,896/11,777,836 = 11,777,836/x
  3. Step 3: Cross multiply
    8,363,896x = 11,777,836 × 11,777,836
  4. Step 4: Simplify right side
    8,363,896x = 138,717,420,842,896
  5. Step 5: Solve for x
    x = 138,717,420,842,896/8,363,896
  6. Step 6: Final answer
    x = 16,585,263.71

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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.