Superion, TriTech Software Systems and Aptean’s public-sector and health-care business are merging into one giant entity that will be one of the largest –— if not the largest — companies focused explicitly on state and local government in North America. The move, which will create a company with more than 30 core products spanning public safety software, health-care solutions and government administrative tools such as finance management and land use, comes as the result of private equity deals the three companies have entered into.