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Finding the Third Proportional to 22,205,942.25 and 49,517,748

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Solution

The third proportional to 22,205,942.25 and 49,517,748 is: 110,421,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205,942.25 : 49,517,748 = 49,517,748 : x
  2. Step 2: Convert to fraction form
    22,205,942.25/49,517,748 = 49,517,748/x
  3. Step 3: Cross multiply
    22,205,942.25x = 49,517,748 × 49,517,748
  4. Step 4: Simplify right side
    22,205,942.25x = 2,452,007,366,991,504
  5. Step 5: Solve for x
    x = 2,452,007,366,991,504/22,205,942.25
  6. Step 6: Final answer
    x = 110,421,225.97

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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.