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Finding the Third Proportional to 30,449,694 and 41,474,349

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Solution

The third proportional to 30,449,694 and 41,474,349 is: 56,490,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449,694 : 41,474,349 = 41,474,349 : x
  2. Step 2: Convert to fraction form
    30,449,694/41,474,349 = 41,474,349/x
  3. Step 3: Cross multiply
    30,449,694x = 41,474,349 × 41,474,349
  4. Step 4: Simplify right side
    30,449,694x = 1,720,121,624,973,801
  5. Step 5: Solve for x
    x = 1,720,121,624,973,801/30,449,694
  6. Step 6: Final answer
    x = 56,490,604.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.