Existing customers of what? Akamai didn't buy a business (or if they did, they don't care that they did.) Akamai already has a business, one with (very profitable) customers. Rather, in buying Linode, Akamai bought another supply chain to use to feed their existing business-model with.
Think like: a sporting goods company buying a tire company, not to make tires, but because they want to sell their existing customers rubber balls to go with their knee pads and stickball sticks; and the tire company happens to have a good rubber-goods supply chain that can be repurposed to do that.
Akamai doesn't want to get into the VPS business. They want to repurpose Linode's systems to extend their "cloud-services integrated solution provider" solution portfolio. Remember "IBM SoftLayer"? Akamai wants to be IBM, and so they need a SoftLayer of their own.