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Finding the Third Proportional to 4,945,729.50 and 10,422,819

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Solution

The third proportional to 4,945,729.50 and 10,422,819 is: 21,965,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945,729.50 : 10,422,819 = 10,422,819 : x
  2. Step 2: Convert to fraction form
    4,945,729.50/10,422,819 = 10,422,819/x
  3. Step 3: Cross multiply
    4,945,729.50x = 10,422,819 × 10,422,819
  4. Step 4: Simplify right side
    4,945,729.50x = 108,635,155,906,761
  5. Step 5: Solve for x
    x = 108,635,155,906,761/4,945,729.50
  6. Step 6: Final answer
    x = 21,965,446.33

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.