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Finding the Third Proportional to 3,416,661,648 and 5,324,747,544

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Solution

The third proportional to 3,416,661,648 and 5,324,747,544 is: 8,298,432,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416,661,648 : 5,324,747,544 = 5,324,747,544 : x
  2. Step 2: Convert to fraction form
    3,416,661,648/5,324,747,544 = 5,324,747,544/x
  3. Step 3: Cross multiply
    3,416,661,648x = 5,324,747,544 × 5,324,747,544
  4. Step 4: Simplify right side
    3,416,661,648x = 28,352,936,407,334,031,360
  5. Step 5: Solve for x
    x = 28,352,936,407,334,031,360/3,416,661,648
  6. Step 6: Final answer
    x = 8,298,432,601.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.