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Finding the Third Proportional to 11,351,896 and 17,011,216

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Solution

The third proportional to 11,351,896 and 17,011,216 is: 25,491,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351,896 : 17,011,216 = 17,011,216 : x
  2. Step 2: Convert to fraction form
    11,351,896/17,011,216 = 17,011,216/x
  3. Step 3: Cross multiply
    11,351,896x = 17,011,216 × 17,011,216
  4. Step 4: Simplify right side
    11,351,896x = 289,381,469,798,656
  5. Step 5: Solve for x
    x = 289,381,469,798,656/11,351,896
  6. Step 6: Final answer
    x = 25,491,906.36

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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.