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Finding the Third Proportional to 1,401,372,940 and 1,970,937,279

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Solution

The third proportional to 1,401,372,940 and 1,970,937,279 is: 2,771,991,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,372,940 : 1,970,937,279 = 1,970,937,279 : x
  2. Step 2: Convert to fraction form
    1,401,372,940/1,970,937,279 = 1,970,937,279/x
  3. Step 3: Cross multiply
    1,401,372,940x = 1,970,937,279 × 1,970,937,279
  4. Step 4: Simplify right side
    1,401,372,940x = 3,884,593,757,751,923,712
  5. Step 5: Solve for x
    x = 3,884,593,757,751,923,712/1,401,372,940
  6. Step 6: Final answer
    x = 2,771,991,414.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.