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Finding the Third Proportional to 12,407,961 and 27,265,224

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Solution

The third proportional to 12,407,961 and 27,265,224 is: 59,912,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407,961 : 27,265,224 = 27,265,224 : x
  2. Step 2: Convert to fraction form
    12,407,961/27,265,224 = 27,265,224/x
  3. Step 3: Cross multiply
    12,407,961x = 27,265,224 × 27,265,224
  4. Step 4: Simplify right side
    12,407,961x = 743,392,439,770,176
  5. Step 5: Solve for x
    x = 743,392,439,770,176/12,407,961
  6. Step 6: Final answer
    x = 59,912,538.39

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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.