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Finding the Third Proportional to 38,463,669,204 and 83,548,642,533

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Solution

The third proportional to 38,463,669,204 and 83,548,642,533 is: 181,479,713,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463,669,204 : 83,548,642,533 = 83,548,642,533 : x
  2. Step 2: Convert to fraction form
    38,463,669,204/83,548,642,533 = 83,548,642,533/x
  3. Step 3: Cross multiply
    38,463,669,204x = 83,548,642,533 × 83,548,642,533
  4. Step 4: Simplify right side
    38,463,669,204x = 6,980,375,669,107,016,597,504
  5. Step 5: Solve for x
    x = 6,980,375,669,107,016,597,504/38,463,669,204
  6. Step 6: Final answer
    x = 181,479,713,546.96

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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.