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Finding the Third Proportional to 3,778,512,880 and 8,199,296,812

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Solution

The third proportional to 3,778,512,880 and 8,199,296,812 is: 17,792,308,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778,512,880 : 8,199,296,812 = 8,199,296,812 : x
  2. Step 2: Convert to fraction form
    3,778,512,880/8,199,296,812 = 8,199,296,812/x
  3. Step 3: Cross multiply
    3,778,512,880x = 8,199,296,812 × 8,199,296,812
  4. Step 4: Simplify right side
    3,778,512,880x = 67,228,468,211,273,359,360
  5. Step 5: Solve for x
    x = 67,228,468,211,273,359,360/3,778,512,880
  6. Step 6: Final answer
    x = 17,792,308,864.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.