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Finding the Third Proportional to 2,839,792,579,062.80 and 5,758,605,703,744.40

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Solution

The third proportional to 2,839,792,579,062.80 and 5,758,605,703,744.40 is: 11,677,451,337,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,792,579,062.80 : 5,758,605,703,744.40 = 5,758,605,703,744.40 : x
  2. Step 2: Convert to fraction form
    2,839,792,579,062.80/5,758,605,703,744.40 = 5,758,605,703,744.40/x
  3. Step 3: Cross multiply
    2,839,792,579,062.80x = 5,758,605,703,744.40 × 5,758,605,703,744.40
  4. Step 4: Simplify right side
    2,839,792,579,062.80x = 33,161,539,651,197,541,787,107,328
  5. Step 5: Solve for x
    x = 33,161,539,651,197,541,787,107,328/2,839,792,579,062.80
  6. Step 6: Final answer
    x = 11,677,451,337,710.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.