In[]:=
m1=(3.758319264934796*
-6
10
)x+(3.3520999688130547*10^-7)y+(4.609132815696528*10^-9)z==0;​​m2=(1.1173666562710184*10^-7)x+(9.263717696213907*10^-6)y-(4.1238472951400996*10^-25)z==0;​​m3=(5.644559749587781*10^-25)x-(1.5240311323887007*10^-23)y+(4.1238472951400996*10^-25)z8.1695200961681;​​Solve[{m1,m2,m3},{x,y,z}]
Out[]=
{}