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Finding the Third Proportional to 22,206,078 and 49,517,967

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Solution

The third proportional to 22,206,078 and 49,517,967 is: 110,421,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206,078 : 49,517,967 = 49,517,967 : x
  2. Step 2: Convert to fraction form
    22,206,078/49,517,967 = 49,517,967/x
  3. Step 3: Cross multiply
    22,206,078x = 49,517,967 × 49,517,967
  4. Step 4: Simplify right side
    22,206,078x = 2,452,029,055,813,089
  5. Step 5: Solve for x
    x = 2,452,029,055,813,089/22,206,078
  6. Step 6: Final answer
    x = 110,421,527.65

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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.