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Finding the Third Proportional to 796,202,969,778 and 1,754,697,459,384

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Solution

The third proportional to 796,202,969,778 and 1,754,697,459,384 is: 3,867,058,138,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,202,969,778 : 1,754,697,459,384 = 1,754,697,459,384 : x
  2. Step 2: Convert to fraction form
    796,202,969,778/1,754,697,459,384 = 1,754,697,459,384/x
  3. Step 3: Cross multiply
    796,202,969,778x = 1,754,697,459,384 × 1,754,697,459,384
  4. Step 4: Simplify right side
    796,202,969,778x = 3,078,963,173,968,664,391,057,408
  5. Step 5: Solve for x
    x = 3,078,963,173,968,664,391,057,408/796,202,969,778
  6. Step 6: Final answer
    x = 3,867,058,138,237.23

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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.