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Finding the Third Proportional to 2,839,792,579,042 and 5,758,605,703,714

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Solution

The third proportional to 2,839,792,579,042 and 5,758,605,703,714 is: 11,677,451,337,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,792,579,042 : 5,758,605,703,714 = 5,758,605,703,714 : x
  2. Step 2: Convert to fraction form
    2,839,792,579,042/5,758,605,703,714 = 5,758,605,703,714/x
  3. Step 3: Cross multiply
    2,839,792,579,042x = 5,758,605,703,714 × 5,758,605,703,714
  4. Step 4: Simplify right side
    2,839,792,579,042x = 33,161,539,650,847,411,758,170,112
  5. Step 5: Solve for x
    x = 33,161,539,650,847,411,758,170,112/2,839,792,579,042
  6. Step 6: Final answer
    x = 11,677,451,337,672.84

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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.