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Finding the Third Proportional to 571,449,976 and 1,240,317,680

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Solution

The third proportional to 571,449,976 and 1,240,317,680 is: 2,692,078,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,449,976 : 1,240,317,680 = 1,240,317,680 : x
  2. Step 2: Convert to fraction form
    571,449,976/1,240,317,680 = 1,240,317,680/x
  3. Step 3: Cross multiply
    571,449,976x = 1,240,317,680 × 1,240,317,680
  4. Step 4: Simplify right side
    571,449,976x = 1,538,387,947,320,582,400
  5. Step 5: Solve for x
    x = 1,538,387,947,320,582,400/571,449,976
  6. Step 6: Final answer
    x = 2,692,078,067.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.