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Finding the Third Proportional to 1,033,722,434 and 2,268,296,761

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Solution

The third proportional to 1,033,722,434 and 2,268,296,761 is: 4,977,322,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,722,434 : 2,268,296,761 = 2,268,296,761 : x
  2. Step 2: Convert to fraction form
    1,033,722,434/2,268,296,761 = 2,268,296,761/x
  3. Step 3: Cross multiply
    1,033,722,434x = 2,268,296,761 × 2,268,296,761
  4. Step 4: Simplify right side
    1,033,722,434x = 5,145,170,195,963,090,944
  5. Step 5: Solve for x
    x = 5,145,170,195,963,090,944/1,033,722,434
  6. Step 6: Final answer
    x = 4,977,322,757.77

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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.