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Finding the Third Proportional to 5,992,256 and 12,942,193

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Solution

The third proportional to 5,992,256 and 12,942,193 is: 27,952,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992,256 : 12,942,193 = 12,942,193 : x
  2. Step 2: Convert to fraction form
    5,992,256/12,942,193 = 12,942,193/x
  3. Step 3: Cross multiply
    5,992,256x = 12,942,193 × 12,942,193
  4. Step 4: Simplify right side
    5,992,256x = 167,500,359,649,249
  5. Step 5: Solve for x
    x = 167,500,359,649,249/5,992,256
  6. Step 6: Final answer
    x = 27,952,804.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.