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Finding the Third Proportional to 17,888,486,016.38 and 38,758,212,591.75

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Solution

The third proportional to 17,888,486,016.38 and 38,758,212,591.75 is: 83,975,750,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,888,486,016.38 : 38,758,212,591.75 = 38,758,212,591.75 : x
  2. Step 2: Convert to fraction form
    17,888,486,016.38/38,758,212,591.75 = 38,758,212,591.75/x
  3. Step 3: Cross multiply
    17,888,486,016.38x = 38,758,212,591.75 × 38,758,212,591.75
  4. Step 4: Simplify right side
    17,888,486,016.38x = 1,502,199,043,307,288,133,632
  5. Step 5: Solve for x
    x = 1,502,199,043,307,288,133,632/17,888,486,016.38
  6. Step 6: Final answer
    x = 83,975,750,766.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.