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Finding the Third Proportional to 5,383,546.31 and 8,274,897.56

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Solution

The third proportional to 5,383,546.31 and 8,274,897.56 is: 12,719,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383,546.31 : 8,274,897.56 = 8,274,897.56 : x
  2. Step 2: Convert to fraction form
    5,383,546.31/8,274,897.56 = 8,274,897.56/x
  3. Step 3: Cross multiply
    5,383,546.31x = 8,274,897.56 × 8,274,897.56
  4. Step 4: Simplify right side
    5,383,546.31x = 68,473,929,669,868.44
  5. Step 5: Solve for x
    x = 68,473,929,669,868.44/5,383,546.31
  6. Step 6: Final answer
    x = 12,719,112.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.