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Finding the Third Proportional to 773,440,793.25 and 1,226,725,086.38

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Solution

The third proportional to 773,440,793.25 and 1,226,725,086.38 is: 1,945,662,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,440,793.25 : 1,226,725,086.38 = 1,226,725,086.38 : x
  2. Step 2: Convert to fraction form
    773,440,793.25/1,226,725,086.38 = 1,226,725,086.38/x
  3. Step 3: Cross multiply
    773,440,793.25x = 1,226,725,086.38 × 1,226,725,086.38
  4. Step 4: Simplify right side
    773,440,793.25x = 1,504,854,437,541,751,296
  5. Step 5: Solve for x
    x = 1,504,854,437,541,751,296/773,440,793.25
  6. Step 6: Final answer
    x = 1,945,662,099.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.