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Finding the Third Proportional to 12,199,149 and 16,263,720

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Solution

The third proportional to 12,199,149 and 16,263,720 is: 21,682,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199,149 : 16,263,720 = 16,263,720 : x
  2. Step 2: Convert to fraction form
    12,199,149/16,263,720 = 16,263,720/x
  3. Step 3: Cross multiply
    12,199,149x = 16,263,720 × 16,263,720
  4. Step 4: Simplify right side
    12,199,149x = 264,508,588,238,400
  5. Step 5: Solve for x
    x = 264,508,588,238,400/12,199,149
  6. Step 6: Final answer
    x = 21,682,544.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.