Virtualization allows multiple operating systems to run on a single physical machine by dividing the machine's resources among virtual environments. Cloud computing takes virtualization further by allowing users to rent computing resources from large data centers as needed rather than owning their own hardware. This allows users to pay only for the resources they use and scale up or down easily based on demand. Virtualization and cloud computing provide benefits like cost control, business agility, and reducing the need for companies to manage their own IT infrastructure.