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Finding the Third Proportional to 3,834,726,936 and 8,261,834,160

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Solution

The third proportional to 3,834,726,936 and 8,261,834,160 is: 17,799,938,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,726,936 : 8,261,834,160 = 8,261,834,160 : x
  2. Step 2: Convert to fraction form
    3,834,726,936/8,261,834,160 = 8,261,834,160/x
  3. Step 3: Cross multiply
    3,834,726,936x = 8,261,834,160 × 8,261,834,160
  4. Step 4: Simplify right side
    3,834,726,936x = 68,257,903,687,342,907,392
  5. Step 5: Solve for x
    x = 68,257,903,687,342,907,392/3,834,726,936
  6. Step 6: Final answer
    x = 17,799,938,516.23

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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.