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Finding the Third Proportional to 550,992,375 and 1,198,835,923.50

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Solution

The third proportional to 550,992,375 and 1,198,835,923.50 is: 2,608,398,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,992,375 : 1,198,835,923.50 = 1,198,835,923.50 : x
  2. Step 2: Convert to fraction form
    550,992,375/1,198,835,923.50 = 1,198,835,923.50/x
  3. Step 3: Cross multiply
    550,992,375x = 1,198,835,923.50 × 1,198,835,923.50
  4. Step 4: Simplify right side
    550,992,375x = 1,437,207,571,474,097,920
  5. Step 5: Solve for x
    x = 1,437,207,571,474,097,920/550,992,375
  6. Step 6: Final answer
    x = 2,608,398,294.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.