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Finding the Third Proportional to 2,363,198 and 5,154,147

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Solution

The third proportional to 2,363,198 and 5,154,147 is: 11,241,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363,198 : 5,154,147 = 5,154,147 : x
  2. Step 2: Convert to fraction form
    2,363,198/5,154,147 = 5,154,147/x
  3. Step 3: Cross multiply
    2,363,198x = 5,154,147 × 5,154,147
  4. Step 4: Simplify right side
    2,363,198x = 26,565,231,297,609
  5. Step 5: Solve for x
    x = 26,565,231,297,609/2,363,198
  6. Step 6: Final answer
    x = 11,241,221.13

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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.