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Finding the Third Proportional to 825,231,945 and 1,234,576,028

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Solution

The third proportional to 825,231,945 and 1,234,576,028 is: 1,846,969,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,231,945 : 1,234,576,028 = 1,234,576,028 : x
  2. Step 2: Convert to fraction form
    825,231,945/1,234,576,028 = 1,234,576,028/x
  3. Step 3: Cross multiply
    825,231,945x = 1,234,576,028 × 1,234,576,028
  4. Step 4: Simplify right side
    825,231,945x = 1,524,177,968,912,256,768
  5. Step 5: Solve for x
    x = 1,524,177,968,912,256,768/825,231,945
  6. Step 6: Final answer
    x = 1,846,969,180.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.