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Finding the Third Proportional to 22,751,969.25 and 49,140,144.75

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Solution

The third proportional to 22,751,969.25 and 49,140,144.75 is: 106,133,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751,969.25 : 49,140,144.75 = 49,140,144.75 : x
  2. Step 2: Convert to fraction form
    22,751,969.25/49,140,144.75 = 49,140,144.75/x
  3. Step 3: Cross multiply
    22,751,969.25x = 49,140,144.75 × 49,140,144.75
  4. Step 4: Simplify right side
    22,751,969.25x = 2,414,753,826,050,952.50
  5. Step 5: Solve for x
    x = 2,414,753,826,050,952.50/22,751,969.25
  6. Step 6: Final answer
    x = 106,133,838.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.