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Finding the Third Proportional to 8,195,321,156 and 17,633,614,096

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Solution

The third proportional to 8,195,321,156 and 17,633,614,096 is: 37,941,691,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,321,156 : 17,633,614,096 = 17,633,614,096 : x
  2. Step 2: Convert to fraction form
    8,195,321,156/17,633,614,096 = 17,633,614,096/x
  3. Step 3: Cross multiply
    8,195,321,156x = 17,633,614,096 × 17,633,614,096
  4. Step 4: Simplify right side
    8,195,321,156x = 310,944,346,086,649,888,768
  5. Step 5: Solve for x
    x = 310,944,346,086,649,888,768/8,195,321,156
  6. Step 6: Final answer
    x = 37,941,691,383.14

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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.