Arsenic(III) oxide ( \(\text{As}_2\text{O}_3\) ) reacts with acidified potassium dichromate ( \(\text{Cr}_2\text{O}_7^{2-}\) ) to produce arsenic acid ( \(\text{H}_3\text{AsO}_4\) ) and chromium(III) ions ( \(\text{Cr}^{3+}\) ). The unbalanced ionic equation for the reaction is:
\(\text{As}_2\text{O}_3(\text{s}) + \text{Cr}_2\text{O}_7^{2-}(\text{aq}) \rightarrow \text{H}_3\text{AsO}_4(\text{aq}) + \text{Cr}^{3+}(\text{aq})\)
When this equation is balanced using the smallest whole-number coefficients in acidic medium, what is the stoichiometric coefficient of water ( \(\text{H}_2\text{O}\) )?