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Finding the Third Proportional to 1,401,372,936 and 1,970,937,272

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Solution

The third proportional to 1,401,372,936 and 1,970,937,272 is: 2,771,991,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,372,936 : 1,970,937,272 = 1,970,937,272 : x
  2. Step 2: Convert to fraction form
    1,401,372,936/1,970,937,272 = 1,970,937,272/x
  3. Step 3: Cross multiply
    1,401,372,936x = 1,970,937,272 × 1,970,937,272
  4. Step 4: Simplify right side
    1,401,372,936x = 3,884,593,730,158,801,920
  5. Step 5: Solve for x
    x = 3,884,593,730,158,801,920/1,401,372,936
  6. Step 6: Final answer
    x = 2,771,991,402.41

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Why These Related Problems?

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