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Finding the Third Proportional to 1,449,401,297,517 and 3,153,274,201,023

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Solution

The third proportional to 1,449,401,297,517 and 3,153,274,201,023 is: 6,860,169,232,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,401,297,517 : 3,153,274,201,023 = 3,153,274,201,023 : x
  2. Step 2: Convert to fraction form
    1,449,401,297,517/3,153,274,201,023 = 3,153,274,201,023/x
  3. Step 3: Cross multiply
    1,449,401,297,517x = 3,153,274,201,023 × 3,153,274,201,023
  4. Step 4: Simplify right side
    1,449,401,297,517x = 9,943,138,186,837,238,703,194,112
  5. Step 5: Solve for x
    x = 9,943,138,186,837,238,703,194,112/1,449,401,297,517
  6. Step 6: Final answer
    x = 6,860,169,232,545.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.