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Finding the Third Proportional to 20,055,977 and 31,003,982

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Solution

The third proportional to 20,055,977 and 31,003,982 is: 47,928,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055,977 : 31,003,982 = 31,003,982 : x
  2. Step 2: Convert to fraction form
    20,055,977/31,003,982 = 31,003,982/x
  3. Step 3: Cross multiply
    20,055,977x = 31,003,982 × 31,003,982
  4. Step 4: Simplify right side
    20,055,977x = 961,246,899,856,324
  5. Step 5: Solve for x
    x = 961,246,899,856,324/20,055,977
  6. Step 6: Final answer
    x = 47,928,201.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.