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Finding the Third Proportional to 11,281,398 and 17,186,481

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Solution

The third proportional to 11,281,398 and 17,186,481 is: 26,182,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281,398 : 17,186,481 = 17,186,481 : x
  2. Step 2: Convert to fraction form
    11,281,398/17,186,481 = 17,186,481/x
  3. Step 3: Cross multiply
    11,281,398x = 17,186,481 × 17,186,481
  4. Step 4: Simplify right side
    11,281,398x = 295,375,129,163,361
  5. Step 5: Solve for x
    x = 295,375,129,163,361/11,281,398
  6. Step 6: Final answer
    x = 26,182,493.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.