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Finding the Third Proportional to 1,401,372,934.25 and 1,970,937,270.25

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Solution

The third proportional to 1,401,372,934.25 and 1,970,937,270.25 is: 2,771,991,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,372,934.25 : 1,970,937,270.25 = 1,970,937,270.25 : x
  2. Step 2: Convert to fraction form
    1,401,372,934.25/1,970,937,270.25 = 1,970,937,270.25/x
  3. Step 3: Cross multiply
    1,401,372,934.25x = 1,970,937,270.25 × 1,970,937,270.25
  4. Step 4: Simplify right side
    1,401,372,934.25x = 3,884,593,723,260,521,472
  5. Step 5: Solve for x
    x = 3,884,593,723,260,521,472/1,401,372,934.25
  6. Step 6: Final answer
    x = 2,771,991,400.95

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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.