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Finding the Third Proportional to 3,782,352,997.88 and 8,277,218,390

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Solution

The third proportional to 3,782,352,997.88 and 8,277,218,390 is: 18,113,683,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,352,997.88 : 8,277,218,390 = 8,277,218,390 : x
  2. Step 2: Convert to fraction form
    3,782,352,997.88/8,277,218,390 = 8,277,218,390/x
  3. Step 3: Cross multiply
    3,782,352,997.88x = 8,277,218,390 × 8,277,218,390
  4. Step 4: Simplify right side
    3,782,352,997.88x = 68,512,344,275,754,188,800
  5. Step 5: Solve for x
    x = 68,512,344,275,754,188,800/3,782,352,997.88
  6. Step 6: Final answer
    x = 18,113,683,285.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.