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Finding the Third Proportional to 5,383,577.67 and 8,274,930.26

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Solution

The third proportional to 5,383,577.67 and 8,274,930.26 is: 12,719,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383,577.67 : 8,274,930.26 = 8,274,930.26 : x
  2. Step 2: Convert to fraction form
    5,383,577.67/8,274,930.26 = 8,274,930.26/x
  3. Step 3: Cross multiply
    5,383,577.67x = 8,274,930.26 × 8,274,930.26
  4. Step 4: Simplify right side
    5,383,577.67x = 68,474,470,771,660.85
  5. Step 5: Solve for x
    x = 68,474,470,771,660.85/5,383,577.67
  6. Step 6: Final answer
    x = 12,719,138.64

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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.