Ball is related to Egg. Egg is related to Production. Production is related to Metal. 
Expansion is a type of Increase. Increase is a synonym of Extend. Extension is derived from Extend. 
Ball <--RelatedTo--> Egg <--RelatedTo--> Production <--RelatedTo--> Metal 
Expansion --IsA--> Increase <--Synonym--> Extend <--DerivedFrom-- Extension 