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Finding the Third Proportional to 33,969,307,392 and 50,659,383,158.44

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Solution

The third proportional to 33,969,307,392 and 50,659,383,158.44 is: 75,549,762,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969,307,392 : 50,659,383,158.44 = 50,659,383,158.44 : x
  2. Step 2: Convert to fraction form
    33,969,307,392/50,659,383,158.44 = 50,659,383,158.44/x
  3. Step 3: Cross multiply
    33,969,307,392x = 50,659,383,158.44 × 50,659,383,158.44
  4. Step 4: Simplify right side
    33,969,307,392x = 2,566,373,101,993,431,924,736
  5. Step 5: Solve for x
    x = 2,566,373,101,993,431,924,736/33,969,307,392
  6. Step 6: Final answer
    x = 75,549,762,389.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.