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Finding the Third Proportional to 6,659,694,651,193 and 10,596,883,380,398

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Solution

The third proportional to 6,659,694,651,193 and 10,596,883,380,398 is: 16,861,724,637,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659,694,651,193 : 10,596,883,380,398 = 10,596,883,380,398 : x
  2. Step 2: Convert to fraction form
    6,659,694,651,193/10,596,883,380,398 = 10,596,883,380,398/x
  3. Step 3: Cross multiply
    6,659,694,651,193x = 10,596,883,380,398 × 10,596,883,380,398
  4. Step 4: Simplify right side
    6,659,694,651,193x = 112,293,937,377,755,336,261,238,784
  5. Step 5: Solve for x
    x = 112,293,937,377,755,336,261,238,784/6,659,694,651,193
  6. Step 6: Final answer
    x = 16,861,724,637,426.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.