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Finding the Third Proportional to 17,150,091,082 and 37,149,335,768

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Solution

The third proportional to 17,150,091,082 and 37,149,335,768 is: 80,470,310,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,150,091,082 : 37,149,335,768 = 37,149,335,768 : x
  2. Step 2: Convert to fraction form
    17,150,091,082/37,149,335,768 = 37,149,335,768/x
  3. Step 3: Cross multiply
    17,150,091,082x = 37,149,335,768 × 37,149,335,768
  4. Step 4: Simplify right side
    17,150,091,082x = 1,380,073,148,003,604,234,240
  5. Step 5: Solve for x
    x = 1,380,073,148,003,604,234,240/17,150,091,082
  6. Step 6: Final answer
    x = 80,470,310,122.85

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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.