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Finding the Third Proportional to 825,231,938.63 and 1,234,576,019.25

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Solution

The third proportional to 825,231,938.63 and 1,234,576,019.25 is: 1,846,969,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,231,938.63 : 1,234,576,019.25 = 1,234,576,019.25 : x
  2. Step 2: Convert to fraction form
    825,231,938.63/1,234,576,019.25 = 1,234,576,019.25/x
  3. Step 3: Cross multiply
    825,231,938.63x = 1,234,576,019.25 × 1,234,576,019.25
  4. Step 4: Simplify right side
    825,231,938.63x = 1,524,177,947,307,176,448
  5. Step 5: Solve for x
    x = 1,524,177,947,307,176,448/825,231,938.63
  6. Step 6: Final answer
    x = 1,846,969,168.26

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Why These Related Problems?

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