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Finding the Third Proportional to 6,659,694,651,144 and 10,596,883,380,324

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Solution

The third proportional to 6,659,694,651,144 and 10,596,883,380,324 is: 16,861,724,637,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659,694,651,144 : 10,596,883,380,324 = 10,596,883,380,324 : x
  2. Step 2: Convert to fraction form
    6,659,694,651,144/10,596,883,380,324 = 10,596,883,380,324/x
  3. Step 3: Cross multiply
    6,659,694,651,144x = 10,596,883,380,324 × 10,596,883,380,324
  4. Step 4: Simplify right side
    6,659,694,651,144x = 112,293,937,376,187,003,183,300,608
  5. Step 5: Solve for x
    x = 112,293,937,376,187,003,183,300,608/6,659,694,651,144
  6. Step 6: Final answer
    x = 16,861,724,637,314.59

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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.