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Finding the Third Proportional to 5,230,978 and 11,084,218

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Solution

The third proportional to 5,230,978 and 11,084,218 is: 23,486,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,978 : 11,084,218 = 11,084,218 : x
  2. Step 2: Convert to fraction form
    5,230,978/11,084,218 = 11,084,218/x
  3. Step 3: Cross multiply
    5,230,978x = 11,084,218 × 11,084,218
  4. Step 4: Simplify right side
    5,230,978x = 122,859,888,671,524
  5. Step 5: Solve for x
    x = 122,859,888,671,524/5,230,978
  6. Step 6: Final answer
    x = 23,486,982.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.