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Finding the Third Proportional to 3,811,131,348 and 8,255,407,942

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Solution

The third proportional to 3,811,131,348 and 8,255,407,942 is: 17,882,291,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811,131,348 : 8,255,407,942 = 8,255,407,942 : x
  2. Step 2: Convert to fraction form
    3,811,131,348/8,255,407,942 = 8,255,407,942/x
  3. Step 3: Cross multiply
    3,811,131,348x = 8,255,407,942 × 8,255,407,942
  4. Step 4: Simplify right side
    3,811,131,348x = 68,151,760,288,836,673,536
  5. Step 5: Solve for x
    x = 68,151,760,288,836,673,536/3,811,131,348
  6. Step 6: Final answer
    x = 17,882,291,127.17

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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.