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Finding the Third Proportional to 752,744,904 and 1,567,350,084

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Solution

The third proportional to 752,744,904 and 1,567,350,084 is: 3,263,504,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,744,904 : 1,567,350,084 = 1,567,350,084 : x
  2. Step 2: Convert to fraction form
    752,744,904/1,567,350,084 = 1,567,350,084/x
  3. Step 3: Cross multiply
    752,744,904x = 1,567,350,084 × 1,567,350,084
  4. Step 4: Simplify right side
    752,744,904x = 2,456,586,285,814,807,040
  5. Step 5: Solve for x
    x = 2,456,586,285,814,807,040/752,744,904
  6. Step 6: Final answer
    x = 3,263,504,372.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.