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The phrase "a serious problem to" is correct and usable in written English.
It can be used when discussing an issue that poses a significant challenge or difficulty to someone or something.
Example: "The lack of funding is a serious problem to the success of the project."
Alternatives: "a significant issue for" or "a major concern for".
Exact(32)
That would be a serious problem, to put it mildly.
He holds meetings outside of his company's boardroom whenever his team has a serious problem to solve.
It is clearly a serious problem to calculate E everywhere for an arbitrary distribution of charge, and then to adjust the distribution to make it vanish on the conductor.
History reveals that there are alternating cycles in which government is seen as a valuable and active partner in our social and economic lives, or as a serious problem to be avoided.
Scaling represents a serious problem to many industries.
The deposition of calcium carbonate on solid surfaces under certain conditions poses a serious problem to many industries.
Similar(25)
We face a very serious problem to which scientific knowledge is far from sufficient to cope.
Multidrug resistance (MDR) of bacteria is still an unsolved serious problem to threaten the health of human beings.
However, to progress further in comparative interactomics, a serious problem needs to be resolved.
Crime is a serious problem, made to look worse by journalism's focus on horror stories.
Yet the testimony in Mr. Bourne's trial suggested that a serious problem seemed to exist at American Airlines.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com