If vacancies in the office of governor and the office of lieutenant governor occur simultaneously, the person appointed under AS 44.19.040 succeeds directly to the office of acting governor until successors to the respective offices are elected in a special election.
AS 44.19.046
Simultaneous vacancies
Official source: Alaska State Legislature. Reproduced from public-domain Alaska statutes; confirm against the official source for the current text. Not legal advice.