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Finding the Third Proportional to 18,858,070,489.50 and 41,064,219,279

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Solution

The third proportional to 18,858,070,489.50 and 41,064,219,279 is: 89,419,015,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,858,070,489.50 : 41,064,219,279 = 41,064,219,279 : x
  2. Step 2: Convert to fraction form
    18,858,070,489.50/41,064,219,279 = 41,064,219,279/x
  3. Step 3: Cross multiply
    18,858,070,489.50x = 41,064,219,279 × 41,064,219,279
  4. Step 4: Simplify right side
    18,858,070,489.50x = 1,686,270,104,993,795,407,872
  5. Step 5: Solve for x
    x = 1,686,270,104,993,795,407,872/18,858,070,489.50
  6. Step 6: Final answer
    x = 89,419,015,902.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.