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Finding the Third Proportional to 18,365,662,991 and 27,543,711,522

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Solution

The third proportional to 18,365,662,991 and 27,543,711,522 is: 41,308,394,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,365,662,991 : 27,543,711,522 = 27,543,711,522 : x
  2. Step 2: Convert to fraction form
    18,365,662,991/27,543,711,522 = 27,543,711,522/x
  3. Step 3: Cross multiply
    18,365,662,991x = 27,543,711,522 × 27,543,711,522
  4. Step 4: Simplify right side
    18,365,662,991x = 758,656,044,407,155,589,120
  5. Step 5: Solve for x
    x = 758,656,044,407,155,589,120/18,365,662,991
  6. Step 6: Final answer
    x = 41,308,394,081.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.