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Finding the Third Proportional to 17,150,091,078 and 37,149,335,760

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Solution

The third proportional to 17,150,091,078 and 37,149,335,760 is: 80,470,310,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,150,091,078 : 37,149,335,760 = 37,149,335,760 : x
  2. Step 2: Convert to fraction form
    17,150,091,078/37,149,335,760 = 37,149,335,760/x
  3. Step 3: Cross multiply
    17,150,091,078x = 37,149,335,760 × 37,149,335,760
  4. Step 4: Simplify right side
    17,150,091,078x = 1,380,073,147,409,214,734,336
  5. Step 5: Solve for x
    x = 1,380,073,147,409,214,734,336/17,150,091,078
  6. Step 6: Final answer
    x = 80,470,310,106.96

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Why These Related Problems?

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