Let's recheck the calculations to verify the answer. We'll go through the conversion process again.

### Step 1: Convert glubs to glibs
- Given: \( 14.0 \) glibs = \( 3.0 \) glubs.
- Conversion factor: \( 1 \) glub = \( \frac{14.0}{3.0} \) glibs.
- So, \( 1344 \) glubs = \( 1344 \times \frac{14.0}{3.0} = 1344 \times 4.6667 = 6272 \) glibs.

### Step 2: Convert glibs to grogs
- Given: \( 5.1 \) glibs = \( 6.8 \) grogs.
- Conversion factor: \( 1 \) glib = \( \frac{6.8}{5.1} \) grogs.
- So, \( 6272 \) glibs = \( 6272 \times \frac{6.8}{5.1} = 6272 \times 1.3333 \approx 8362.67 \) grogs.

### Step 3: Convert grogs to blabs
- Given: \( 6820 \) grogs = \( 13.0 \) blabs.
- Conversion factor: \( 1 \) grog = \( \frac{13.0}{6820} \) blabs.
- So, \( 

Verify the conversion calculations from glubs to glibs, glibs to grogs, and grogs to blabs with a step-by-step analysis. This problem involves unit conversion and proportional relationships, suitable for students in Grades 7-9.

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