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Finding the Third Proportional to 22,696,382.25 and 49,250,794.50

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Solution

The third proportional to 22,696,382.25 and 49,250,794.50 is: 106,873,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696,382.25 : 49,250,794.50 = 49,250,794.50 : x
  2. Step 2: Convert to fraction form
    22,696,382.25/49,250,794.50 = 49,250,794.50/x
  3. Step 3: Cross multiply
    22,696,382.25x = 49,250,794.50 × 49,250,794.50
  4. Step 4: Simplify right side
    22,696,382.25x = 2,425,640,758,881,230
  5. Step 5: Solve for x
    x = 2,425,640,758,881,230/22,696,382.25
  6. Step 6: Final answer
    x = 106,873,453.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.