Shareholders backed the plan with 99.2% of the votes.
Shares of GE are up by 0.21% to $25.19 in mid-morning trading on Friday.
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As part of the deal, which is set to close during the second quarter of 2015, GE will acquire assets accounting for 70% of Alstom's revenue. Both companies will set up three joint ventures controlled by GE in nuclear power, electricity grids, and renewable energy, Reuters added.
GE will sell its rail signaling business to Alstom.
The equity value of the deal is $15.1 billion, Bloomberg reports.
Separately, TheStreet Ratings team rates GENERAL ELECTRIC CO as a Buy with a ratings score of B. TheStreet Ratings Team has this to say about their recommendation:
"We rate GENERAL ELECTRIC CO (GE) a BUY. This is driven by multiple strengths, which we believe should have a greater impact than any weaknesses, and should give investors a better performance opportunity than most stocks we cover. The company's strengths can be seen in multiple areas, such as its revenue growth, reasonable valuation levels, growth in earnings per share, increase in net income and good cash flow from operations. We feel these strengths outweigh the fact that the company has had generally high debt management risk by most measures that we evaluated."