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Finding the Third Proportional to 11,343,822 and 17,436,198

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Solution

The third proportional to 11,343,822 and 17,436,198 is: 26,800,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343,822 : 17,436,198 = 17,436,198 : x
  2. Step 2: Convert to fraction form
    11,343,822/17,436,198 = 17,436,198/x
  3. Step 3: Cross multiply
    11,343,822x = 17,436,198 × 17,436,198
  4. Step 4: Simplify right side
    11,343,822x = 304,021,000,695,204
  5. Step 5: Solve for x
    x = 304,021,000,695,204/11,343,822
  6. Step 6: Final answer
    x = 26,800,579.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.