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Finding the Third Proportional to 5,211,016 and 11,482,177

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Solution

The third proportional to 5,211,016 and 11,482,177 is: 25,300,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211,016 : 11,482,177 = 11,482,177 : x
  2. Step 2: Convert to fraction form
    5,211,016/11,482,177 = 11,482,177/x
  3. Step 3: Cross multiply
    5,211,016x = 11,482,177 × 11,482,177
  4. Step 4: Simplify right side
    5,211,016x = 131,840,388,659,329
  5. Step 5: Solve for x
    x = 131,840,388,659,329/5,211,016
  6. Step 6: Final answer
    x = 25,300,323.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.