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Finding the Third Proportional to 5,271,876 and 11,510,568

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Solution

The third proportional to 5,271,876 and 11,510,568 is: 25,132,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271,876 : 11,510,568 = 11,510,568 : x
  2. Step 2: Convert to fraction form
    5,271,876/11,510,568 = 11,510,568/x
  3. Step 3: Cross multiply
    5,271,876x = 11,510,568 × 11,510,568
  4. Step 4: Simplify right side
    5,271,876x = 132,493,175,682,624
  5. Step 5: Solve for x
    x = 132,493,175,682,624/5,271,876
  6. Step 6: Final answer
    x = 25,132,073.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.