This document discusses using grid computing in the cloud. It introduces RightGrid, a cloud-based grid computing platform from RightScale. The presentation covers how grid applications can leverage cloud infrastructure for back-end processing jobs. It demonstrates RightGrid's architecture using Amazon Web Services and shows how standard design patterns allow jobs to be submitted, processed by worker nodes, and retrieved. Examples of industries using grid computing in the cloud are provided. Benefits discussed include elastic scaling, on-demand access to resources, and a simple cost model.