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Finding the Third Proportional to 796,202,950,824 and 1,754,697,420,666

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Solution

The third proportional to 796,202,950,824 and 1,754,697,420,666 is: 3,867,058,059,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,202,950,824 : 1,754,697,420,666 = 1,754,697,420,666 : x
  2. Step 2: Convert to fraction form
    796,202,950,824/1,754,697,420,666 = 1,754,697,420,666/x
  3. Step 3: Cross multiply
    796,202,950,824x = 1,754,697,420,666 × 1,754,697,420,666
  4. Step 4: Simplify right side
    796,202,950,824x = 3,078,963,038,091,913,468,051,456
  5. Step 5: Solve for x
    x = 3,078,963,038,091,913,468,051,456/796,202,950,824
  6. Step 6: Final answer
    x = 3,867,058,059,638.51

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