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Finding the Third Proportional to 796,202,950,806 and 1,754,697,420,626

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Solution

The third proportional to 796,202,950,806 and 1,754,697,420,626 is: 3,867,058,059,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,202,950,806 : 1,754,697,420,626 = 1,754,697,420,626 : x
  2. Step 2: Convert to fraction form
    796,202,950,806/1,754,697,420,626 = 1,754,697,420,626/x
  3. Step 3: Cross multiply
    796,202,950,806x = 1,754,697,420,626 × 1,754,697,420,626
  4. Step 4: Simplify right side
    796,202,950,806x = 3,078,963,037,951,537,830,690,816
  5. Step 5: Solve for x
    x = 3,078,963,037,951,537,830,690,816/796,202,950,806
  6. Step 6: Final answer
    x = 3,867,058,059,549.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.