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Finding the Third Proportional to 11,379,856 and 16,637,744

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Solution

The third proportional to 11,379,856 and 16,637,744 is: 24,324,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379,856 : 16,637,744 = 16,637,744 : x
  2. Step 2: Convert to fraction form
    11,379,856/16,637,744 = 16,637,744/x
  3. Step 3: Cross multiply
    11,379,856x = 16,637,744 × 16,637,744
  4. Step 4: Simplify right side
    11,379,856x = 276,814,525,409,536
  5. Step 5: Solve for x
    x = 276,814,525,409,536/11,379,856
  6. Step 6: Final answer
    x = 24,324,958.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.