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Finding the Third Proportional to 823,121,792,733 and 1,783,020,954,387

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Solution

The third proportional to 823,121,792,733 and 1,783,020,954,387 is: 3,862,324,812,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,121,792,733 : 1,783,020,954,387 = 1,783,020,954,387 : x
  2. Step 2: Convert to fraction form
    823,121,792,733/1,783,020,954,387 = 1,783,020,954,387/x
  3. Step 3: Cross multiply
    823,121,792,733x = 1,783,020,954,387 × 1,783,020,954,387
  4. Step 4: Simplify right side
    823,121,792,733x = 3,179,163,723,783,128,261,591,040
  5. Step 5: Solve for x
    x = 3,179,163,723,783,128,261,591,040/823,121,792,733
  6. Step 6: Final answer
    x = 3,862,324,812,501.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.