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Finding the Third Proportional to 796,202,990,512 and 1,754,697,512,320

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Solution

The third proportional to 796,202,990,512 and 1,754,697,512,320 is: 3,867,058,270,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,202,990,512 : 1,754,697,512,320 = 1,754,697,512,320 : x
  2. Step 2: Convert to fraction form
    796,202,990,512/1,754,697,512,320 = 1,754,697,512,320/x
  3. Step 3: Cross multiply
    796,202,990,512x = 1,754,697,512,320 × 1,754,697,512,320
  4. Step 4: Simplify right side
    796,202,990,512x = 3,078,963,359,741,996,548,751,360
  5. Step 5: Solve for x
    x = 3,078,963,359,741,996,548,751,360/796,202,990,512
  6. Step 6: Final answer
    x = 3,867,058,270,858.87

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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.