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Finding the Third Proportional to 12,409,832 and 27,268,536

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Solution

The third proportional to 12,409,832 and 27,268,536 is: 59,918,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409,832 : 27,268,536 = 27,268,536 : x
  2. Step 2: Convert to fraction form
    12,409,832/27,268,536 = 27,268,536/x
  3. Step 3: Cross multiply
    12,409,832x = 27,268,536 × 27,268,536
  4. Step 4: Simplify right side
    12,409,832x = 743,573,055,583,296
  5. Step 5: Solve for x
    x = 743,573,055,583,296/12,409,832
  6. Step 6: Final answer
    x = 59,918,059.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.