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Finding the Third Proportional to 12,542,904 and 27,477,296

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Solution

The third proportional to 12,542,904 and 27,477,296 is: 60,193,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542,904 : 27,477,296 = 27,477,296 : x
  2. Step 2: Convert to fraction form
    12,542,904/27,477,296 = 27,477,296/x
  3. Step 3: Cross multiply
    12,542,904x = 27,477,296 × 27,477,296
  4. Step 4: Simplify right side
    12,542,904x = 755,001,795,471,616
  5. Step 5: Solve for x
    x = 755,001,795,471,616/12,542,904
  6. Step 6: Final answer
    x = 60,193,540.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.