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Finding the Third Proportional to 12,846,512 and 18,464,936

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Solution

The third proportional to 12,846,512 and 18,464,936 is: 26,540,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846,512 : 18,464,936 = 18,464,936 : x
  2. Step 2: Convert to fraction form
    12,846,512/18,464,936 = 18,464,936/x
  3. Step 3: Cross multiply
    12,846,512x = 18,464,936 × 18,464,936
  4. Step 4: Simplify right side
    12,846,512x = 340,953,861,484,096
  5. Step 5: Solve for x
    x = 340,953,861,484,096/12,846,512
  6. Step 6: Final answer
    x = 26,540,578.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.