The Cigna Group is selling its Medicare health benefits businesses and a medical care provider ... [+] services operation for $3.3 billion to Health Care Service Corp., the parent of five Blue Cross and Blue Shield plans. In this July 9, 2014 picture is Blue Cross Blue Shield Tower where the offices of Health Care Service Corp. and Blue Cross and Blue Shield of Illinois are located. (Photo By Raymond Boyd/Getty Images) 2014 Raymond Boyd The Cigna Group is selling its Medicare health benefits businesses and ...