We present new interferometric (CO)-C-12 (1-0) and single-dish (CO)-C-
12 (3-2) observations of the central parts of D478, a large (> 200 pc)
dark dust cloud located in a quiescent region of the inner disk of M3
1, where single-dish (CO)-C-12 (1-0) and (CO)-C-12 (2-1) observations
were previously obtained. Only a small fraction (<15%) of the (CO)-C-1
2 (1-0) flux previously detected in this region with the single-dish t
elescope is recorded by the interferometer. Most of the (CO)-C-12 (1-0
) emission must therefore have the appearance of a smooth surface with
very little structure on scales smaller than approximate to 25 '' (85
pc). Together with the earlier (CO)-C-12 (1-0) and (CO)-C-12 (2-1) si
ngle-dish results, the new (CO)-C-12 (3-2) data are in good agreement
with LTE predictions for optically thick lines at T-ex = T-kin = 3.5 K
. These results rule out the conventional model for these clouds, cons
isting of warm clumps with a low filling factor (as would be the case
if they resembled Galactic giant molecular clouds), and confirm that l
arge, massive, cold molecular clouds exist in the inner disk of M31 wi
th kinetic temperatures close to that of the cosmic microwave backgrou
nd. Such extremely low temperatures are likely to be a consequence of
the low heating rate in these particular regions of M31, where very li
ttle massive star formation is occurring at present. From the (CO)-C-1
2 line profile widths, we estimate the virial mass surface density of
D478 to be 80-177 M-circle dot pc(-2). This is a factor of 7-16 times
larger than the value obtained by multiplying the (CO)-C-12 profile in
tegrals with the conventional ''X factor''.