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Finding the Third Proportional to 4,100,049 and 8,972,246.25

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Solution

The third proportional to 4,100,049 and 8,972,246.25 is: 19,634,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,049 : 8,972,246.25 = 8,972,246.25 : x
  2. Step 2: Convert to fraction form
    4,100,049/8,972,246.25 = 8,972,246.25/x
  3. Step 3: Cross multiply
    4,100,049x = 8,972,246.25 × 8,972,246.25
  4. Step 4: Simplify right side
    4,100,049x = 80,501,202,770,639.06
  5. Step 5: Solve for x
    x = 80,501,202,770,639.06/4,100,049
  6. Step 6: Final answer
    x = 19,634,205.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.