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Finding the Third Proportional to 8,195,321,149 and 17,633,614,082

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Solution

The third proportional to 8,195,321,149 and 17,633,614,082 is: 37,941,691,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,321,149 : 17,633,614,082 = 17,633,614,082 : x
  2. Step 2: Convert to fraction form
    8,195,321,149/17,633,614,082 = 17,633,614,082/x
  3. Step 3: Cross multiply
    8,195,321,149x = 17,633,614,082 × 17,633,614,082
  4. Step 4: Simplify right side
    8,195,321,149x = 310,944,345,592,908,677,120
  5. Step 5: Solve for x
    x = 310,944,345,592,908,677,120/8,195,321,149
  6. Step 6: Final answer
    x = 37,941,691,355.30

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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.