Use a direct include of strings headers in content/renderer and content/shell.

content/renderer/dom_storage/dom_storage_dispatcher.cc

 // Copyright (c) 2012 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #include "content/renderer/dom_storage/dom_storage_dispatcher.h"
 
 #include <list>
 #include <map>
 
-#include "base/string_number_conversions.h"
+#include "base/strings/string_number_conversions.h"
 #include "base/synchronization/lock.h"
 #include "content/common/dom_storage_messages.h"
 #include "content/renderer/dom_storage/webstoragearea_impl.h"
 #include "content/renderer/dom_storage/webstoragenamespace_impl.h"
 #include "content/renderer/render_thread_impl.h"
 #include "third_party/WebKit/public/platform/Platform.h"
 #include "third_party/WebKit/Source/WebKit/chromium/public/WebKit.h"
 #include "third_party/WebKit/Source/WebKit/chromium/public/WebStorageEventDispatcher.h"
 #include "webkit/common/dom_storage/dom_storage_types.h"
 #include "webkit/renderer/dom_storage/dom_storage_cached_area.h"
@@ skipping 310 matching lines @@
         originating_area,
         originated_in_process);
   }
 }
 
 void DomStorageDispatcher::OnAsyncOperationComplete(bool success) {
   proxy_->CompleteOnePendingCallback(success);
 }
 
 }  // namespace content