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Finding the Third Proportional to 500,247,296 and 1,102,268,320

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Solution

The third proportional to 500,247,296 and 1,102,268,320 is: 2,428,789,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,247,296 : 1,102,268,320 = 1,102,268,320 : x
  2. Step 2: Convert to fraction form
    500,247,296/1,102,268,320 = 1,102,268,320/x
  3. Step 3: Cross multiply
    500,247,296x = 1,102,268,320 × 1,102,268,320
  4. Step 4: Simplify right side
    500,247,296x = 1,214,995,449,275,622,400
  5. Step 5: Solve for x
    x = 1,214,995,449,275,622,400/500,247,296
  6. Step 6: Final answer
    x = 2,428,789,638.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.