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Finding the Third Proportional to 18,719,751,962 and 38,093,277,172

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Solution

The third proportional to 18,719,751,962 and 38,093,277,172 is: 77,516,933,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,719,751,962 : 38,093,277,172 = 38,093,277,172 : x
  2. Step 2: Convert to fraction form
    18,719,751,962/38,093,277,172 = 38,093,277,172/x
  3. Step 3: Cross multiply
    18,719,751,962x = 38,093,277,172 × 38,093,277,172
  4. Step 4: Simplify right side
    18,719,751,962x = 1,451,097,765,702,816,235,520
  5. Step 5: Solve for x
    x = 1,451,097,765,702,816,235,520/18,719,751,962
  6. Step 6: Final answer
    x = 77,516,933,378.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.