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Finding the Third Proportional to 548,083,279.50 and 1,278,905,179.69

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Solution

The third proportional to 548,083,279.50 and 1,278,905,179.69 is: 2,984,215,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,083,279.50 : 1,278,905,179.69 = 1,278,905,179.69 : x
  2. Step 2: Convert to fraction form
    548,083,279.50/1,278,905,179.69 = 1,278,905,179.69/x
  3. Step 3: Cross multiply
    548,083,279.50x = 1,278,905,179.69 × 1,278,905,179.69
  4. Step 4: Simplify right side
    548,083,279.50x = 1,635,598,458,631,516,672
  5. Step 5: Solve for x
    x = 1,635,598,458,631,516,672/548,083,279.50
  6. Step 6: Final answer
    x = 2,984,215,209.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.