What was found
DURING CLIMB/CRUISE FULL FIRE INDICATION ON ENG NR 3, LOOP A&B ON, FIRE HANDLE ON, FIRE BELL ON. ENGINE WAS SHUTDOWN, FIRE INDICATIONS OFF IMMEDIATELY AFTER ENGINE SHUTDOWN. FIRE BOTTLE NOT FIRED. APPROX 8800 GALS. OF FUEL DUMPED. A/C RETURNED TO FIELD, LANDED NORMAL. REPOSITIONED V BAND COUPLING AT HP SEAL, NR 3 ENG. IAW 20-36-01. REMOVED AND REPLACED HP OVERPRESSURE SWITCH IAW 36-11-44. RAN ENGINE AT TAKE OFF POWER SEVERAL TIMES IAW 71-00-00 NO ABNORMALITIES NOTED, OP'S CHECKED NORMAL. AIRCRAFT RETURNED TO SERVICE.