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Finding the Third Proportional to 1,757,763,650 and 2,659,268,451

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Solution

The third proportional to 1,757,763,650 and 2,659,268,451 is: 4,023,128,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757,763,650 : 2,659,268,451 = 2,659,268,451 : x
  2. Step 2: Convert to fraction form
    1,757,763,650/2,659,268,451 = 2,659,268,451/x
  3. Step 3: Cross multiply
    1,757,763,650x = 2,659,268,451 × 2,659,268,451
  4. Step 4: Simplify right side
    1,757,763,650x = 7,071,708,694,483,939,328
  5. Step 5: Solve for x
    x = 7,071,708,694,483,939,328/1,757,763,650
  6. Step 6: Final answer
    x = 4,023,128,305.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.