Scrum of scrums is an approach used to scale the traditional Scrum methodology to fit for the development of complex and large projects. However, scaling the roles of scrum members brought new challenges especially in distributed and large software projects. This paper describes in details the roles of each scrum member in scrum of scrum to propose a solution to use a dedicated product owner for a team and inclusion of sub-backlog. The main goal of the proposed solution is to optimize the role of product owner for distributed large projects. The proposed changes will increase cohesiveness among scrum teams and it will also eliminate duplication of work. Survey is used as a research design to evaluate the proposed solution. The results are found encouraging supporting the proposed solution. It is anticipated that the proposed solution will help the software companies to scale Scrum methodology effectively for large and complex software projects.