S.D. Codified Laws § 12-22-23

In any instances where two or more such contests involve the same submitted or referred question, and where judgments are rendered by different circuit courts with conflicting results, and an appeal is taken in any such case, the appeal shall be determinative of any other such case in which no such appeal is taken, and in case no appeal is taken in any such case, where the determinations in circuit courts are conflicting, within the time provided by law, the time for appeal shall be deemed extended in all of such cases, and the Supreme Court may, at any time, direct that the attorney general prosecute an appeal in some one of such cases.