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Finding the Third Proportional to 12,407,965 and 27,265,232

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Solution

The third proportional to 12,407,965 and 27,265,232 is: 59,912,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407,965 : 27,265,232 = 27,265,232 : x
  2. Step 2: Convert to fraction form
    12,407,965/27,265,232 = 27,265,232/x
  3. Step 3: Cross multiply
    12,407,965x = 27,265,232 × 27,265,232
  4. Step 4: Simplify right side
    12,407,965x = 743,392,876,013,824
  5. Step 5: Solve for x
    x = 743,392,876,013,824/12,407,965
  6. Step 6: Final answer
    x = 59,912,554.24

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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.