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Finding the Third Proportional to 823,121,792,735 and 1,783,020,954,391

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Solution

The third proportional to 823,121,792,735 and 1,783,020,954,391 is: 3,862,324,812,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,121,792,735 : 1,783,020,954,391 = 1,783,020,954,391 : x
  2. Step 2: Convert to fraction form
    823,121,792,735/1,783,020,954,391 = 1,783,020,954,391/x
  3. Step 3: Cross multiply
    823,121,792,735x = 1,783,020,954,391 × 1,783,020,954,391
  4. Step 4: Simplify right side
    823,121,792,735x = 3,179,163,723,797,392,384,851,968
  5. Step 5: Solve for x
    x = 3,179,163,723,797,392,384,851,968/823,121,792,735
  6. Step 6: Final answer
    x = 3,862,324,812,509.14

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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.