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Finding the Third Proportional to 11,412,536 and 17,728,216

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Solution

The third proportional to 11,412,536 and 17,728,216 is: 27,538,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412,536 : 17,728,216 = 17,728,216 : x
  2. Step 2: Convert to fraction form
    11,412,536/17,728,216 = 17,728,216/x
  3. Step 3: Cross multiply
    11,412,536x = 17,728,216 × 17,728,216
  4. Step 4: Simplify right side
    11,412,536x = 314,289,642,542,656
  5. Step 5: Solve for x
    x = 314,289,642,542,656/11,412,536
  6. Step 6: Final answer
    x = 27,538,983.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.