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Finding the Third Proportional to 3,824,056,944 and 8,229,244,500

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Solution

The third proportional to 3,824,056,944 and 8,229,244,500 is: 17,709,062,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824,056,944 : 8,229,244,500 = 8,229,244,500 : x
  2. Step 2: Convert to fraction form
    3,824,056,944/8,229,244,500 = 8,229,244,500/x
  3. Step 3: Cross multiply
    3,824,056,944x = 8,229,244,500 × 8,229,244,500
  4. Step 4: Simplify right side
    3,824,056,944x = 67,720,465,040,780,247,040
  5. Step 5: Solve for x
    x = 67,720,465,040,780,247,040/3,824,056,944
  6. Step 6: Final answer
    x = 17,709,062,922.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.