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Finding the Third Proportional to 4,305,017,639,908 and 6,054,719,270,694

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Solution

The third proportional to 4,305,017,639,908 and 6,054,719,270,694 is: 8,515,557,545,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,017,639,908 : 6,054,719,270,694 = 6,054,719,270,694 : x
  2. Step 2: Convert to fraction form
    4,305,017,639,908/6,054,719,270,694 = 6,054,719,270,694/x
  3. Step 3: Cross multiply
    4,305,017,639,908x = 6,054,719,270,694 × 6,054,719,270,694
  4. Step 4: Simplify right side
    4,305,017,639,908x = 36,659,625,446,913,284,146,987,008
  5. Step 5: Solve for x
    x = 36,659,625,446,913,284,146,987,008/4,305,017,639,908
  6. Step 6: Final answer
    x = 8,515,557,545,473.08

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.