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Finding the Third Proportional to 3,286,274,360 and 7,749,947,327

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Solution

The third proportional to 3,286,274,360 and 7,749,947,327 is: 18,276,527,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286,274,360 : 7,749,947,327 = 7,749,947,327 : x
  2. Step 2: Convert to fraction form
    3,286,274,360/7,749,947,327 = 7,749,947,327/x
  3. Step 3: Cross multiply
    3,286,274,360x = 7,749,947,327 × 7,749,947,327
  4. Step 4: Simplify right side
    3,286,274,360x = 60,061,683,571,274,448,896
  5. Step 5: Solve for x
    x = 60,061,683,571,274,448,896/3,286,274,360
  6. Step 6: Final answer
    x = 18,276,527,456.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.