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Finding the Third Proportional to 5,388,198 and 11,523,540

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Solution

The third proportional to 5,388,198 and 11,523,540 is: 24,644,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388,198 : 11,523,540 = 11,523,540 : x
  2. Step 2: Convert to fraction form
    5,388,198/11,523,540 = 11,523,540/x
  3. Step 3: Cross multiply
    5,388,198x = 11,523,540 × 11,523,540
  4. Step 4: Simplify right side
    5,388,198x = 132,791,974,131,600
  5. Step 5: Solve for x
    x = 132,791,974,131,600/5,388,198
  6. Step 6: Final answer
    x = 24,644,969.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.