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Finding the Third Proportional to 5,198,661 and 11,592,645

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Solution

The third proportional to 5,198,661 and 11,592,645 is: 25,850,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198,661 : 11,592,645 = 11,592,645 : x
  2. Step 2: Convert to fraction form
    5,198,661/11,592,645 = 11,592,645/x
  3. Step 3: Cross multiply
    5,198,661x = 11,592,645 × 11,592,645
  4. Step 4: Simplify right side
    5,198,661x = 134,389,418,096,025
  5. Step 5: Solve for x
    x = 134,389,418,096,025/5,198,661
  6. Step 6: Final answer
    x = 25,850,775.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.