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Finding the Third Proportional to 23,004,198 and 49,239,891

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Solution

The third proportional to 23,004,198 and 49,239,891 is: 105,396,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004,198 : 49,239,891 = 49,239,891 : x
  2. Step 2: Convert to fraction form
    23,004,198/49,239,891 = 49,239,891/x
  3. Step 3: Cross multiply
    23,004,198x = 49,239,891 × 49,239,891
  4. Step 4: Simplify right side
    23,004,198x = 2,424,566,865,691,881
  5. Step 5: Solve for x
    x = 2,424,566,865,691,881/23,004,198
  6. Step 6: Final answer
    x = 105,396,713.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.