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Finding the Third Proportional to 22,206,069 and 49,517,949

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Solution

The third proportional to 22,206,069 and 49,517,949 is: 110,421,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206,069 : 49,517,949 = 49,517,949 : x
  2. Step 2: Convert to fraction form
    22,206,069/49,517,949 = 49,517,949/x
  3. Step 3: Cross multiply
    22,206,069x = 49,517,949 × 49,517,949
  4. Step 4: Simplify right side
    22,206,069x = 2,452,027,273,166,601
  5. Step 5: Solve for x
    x = 2,452,027,273,166,601/22,206,069
  6. Step 6: Final answer
    x = 110,421,492.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.