'profoundly dependent' is correct and usable in written English.
You can use this phrase to describe a situation where someone or something is so deeply and heavily reliant on others or something else that it is not able to survive or perform their/its task without that support. For example: The success of the project was profoundly dependent on the generous donations from the community.
How will Hong Kong, freshly and profoundly dependent on China, define itself?
More than any other title-contending team in the league, the Cavaliers are profoundly dependent on their franchise star.
Brunelleschi, therefore, is seen as an artist still profoundly dependent on local forms of architecture and construction but with a vision of art and science that was based on the humanistic concept of the ideal.
At the same time, Gombrowicz knows that we cannot do without forms and structures, that absolute autonomy is unattainable and "man is profoundly dependent on the reflection of himself in another man's soul, be it even the soul of an idiot".
We are profoundly dependent on the good will and good behavior of others, and we are perpetually seeking evidence that those around us are trustworthy, are true to their word, are not about to desert us, rob us blind, murder us as we sleep.
We have shown that, the co-sensitization effect is profoundly dependent upon the anchoring/acceptor unit in the co-adsorbents.
The only professional caste as profoundly computer-dependent as the media is Wall Street..
The only professional caste as profoundly computer-dependent as the media is Wall Street.
Collateral circulation is profoundly species-dependent, with pigs, rats and primates having a low collateral circulation, whereas dogs and guinea pigs have significant collateralization (Verdouw et al., 1998).
In this study, I found that rapamycin has a profoundly beneficial, dosage-dependent impact on disease onset and progression in the Leigh syndrome model.
Accordingly, EtOH less profoundly suppressed cap-dependent translation and global protein synthesis, compared to a remarkable inhibitory effect of INK128 treatment.
