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Finding the Third Proportional to 30,449,696 and 41,474,351

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Solution

The third proportional to 30,449,696 and 41,474,351 is: 56,490,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449,696 : 41,474,351 = 41,474,351 : x
  2. Step 2: Convert to fraction form
    30,449,696/41,474,351 = 41,474,351/x
  3. Step 3: Cross multiply
    30,449,696x = 41,474,351 × 41,474,351
  4. Step 4: Simplify right side
    30,449,696x = 1,720,121,790,871,201
  5. Step 5: Solve for x
    x = 1,720,121,790,871,201/30,449,696
  6. Step 6: Final answer
    x = 56,490,606.37

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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.