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The phrase "a total of three experiments" is correct and usable in written English.
It can be used when specifying the exact number of experiments conducted in a study or research context.
Example: "In our research, we conducted a total of three experiments to validate our hypothesis."
Alternatives: "three experiments in total" or "a sum of three experiments".
Exact(7)
Each experiment was carried out in duplicate and a total of three experiments were performed.
Each experiment was carried out in duplicate and a total of three experiments were performed for each inhibitor.
We conducted the assay in triplicate wells for each treatment and conducted a total of three experiments for the assay.
This was repeated with two data sets representing 4 mice/group and one representing 5/group from a total of three experiments.
A total of three experiments were performed; two experiments using fecal extracts from human adults and one with fecal extract from a 3 mo old breast-fed baby.
We included three replicates for each dose for each experiment, conducting a total of three experiments (nine replicates total for each dose) for this assay.
Similar(53)
A total of nine experiments are conducted, including a comparative experiment that did not use synonym merging.
Again, we conduct two experiments: one with and the other without human activities, resulting in a total of four experiments (i.e., two offline and two online).
In a total of four experiments, several conclusions were drawn regarding the strength of sound symbolism effects and the role they play in associative memory.
A total of nine experiments, corresponding to three different blast intensity levels were conducted in the 28-inch square shock tube apparatus.
A total of five experiments were conducted in which all experimental parameters were kept constant except for the oscillation period, which ranged from 268 s to 2449 s between tests.
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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