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Finding the Third Proportional to 2,081,004,170 and 4,855,844,102

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Solution

The third proportional to 2,081,004,170 and 4,855,844,102 is: 11,330,694,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,004,170 : 4,855,844,102 = 4,855,844,102 : x
  2. Step 2: Convert to fraction form
    2,081,004,170/4,855,844,102 = 4,855,844,102/x
  3. Step 3: Cross multiply
    2,081,004,170x = 4,855,844,102 × 4,855,844,102
  4. Step 4: Simplify right side
    2,081,004,170x = 23,579,221,942,928,187,392
  5. Step 5: Solve for x
    x = 23,579,221,942,928,187,392/2,081,004,170
  6. Step 6: Final answer
    x = 11,330,694,230.63

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.