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Finding the Third Proportional to 11,351,898 and 17,011,219

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Solution

The third proportional to 11,351,898 and 17,011,219 is: 25,491,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351,898 : 17,011,219 = 17,011,219 : x
  2. Step 2: Convert to fraction form
    11,351,898/17,011,219 = 17,011,219/x
  3. Step 3: Cross multiply
    11,351,898x = 17,011,219 × 17,011,219
  4. Step 4: Simplify right side
    11,351,898x = 289,381,571,865,961
  5. Step 5: Solve for x
    x = 289,381,571,865,961/11,351,898
  6. Step 6: Final answer
    x = 25,491,910.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.