I think the second sentence has a dangling modifier. The second sentence starts with a participle phrase "Extrapolating world-wide" in which it doesn't modify anything.
There are two ways to fix this error.
- First, identify the actor of the action word "extrapolate" and then make it as the subject. Sample is as follows:
Rather than this
"Having read your letter, my cat will stay indoors until the ducklings fly off."
it must be structured this way
"Having read your letter, we will keep our cat indoors until the ducklings fly off."
(The subject can be anyone identified as the actor of the participle 'having'.)
Note that it's not the cat that read the letter, but someone (in this sample, I used "we")
- Rewrite the entire sentence or the introductory phrase to avoid a dangling modifier.
- Running seriously for a competition, some fans blocked his way.
- Running seriously for a competition, Usain Bolt had his way blocked by some fans.
- As Usain Bolt was running seriously for a competition, some fans blocked his way.