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Finding the Third Proportional to 1,017,929,810,578 and 1,518,067,347,447

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Solution

The third proportional to 1,017,929,810,578 and 1,518,067,347,447 is: 2,263,936,518,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,929,810,578 : 1,518,067,347,447 = 1,518,067,347,447 : x
  2. Step 2: Convert to fraction form
    1,017,929,810,578/1,518,067,347,447 = 1,518,067,347,447/x
  3. Step 3: Cross multiply
    1,017,929,810,578x = 1,518,067,347,447 × 1,518,067,347,447
  4. Step 4: Simplify right side
    1,017,929,810,578x = 2,304,528,471,384,770,694,086,656
  5. Step 5: Solve for x
    x = 2,304,528,471,384,770,694,086,656/1,017,929,810,578
  6. Step 6: Final answer
    x = 2,263,936,518,448.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.