Which AWS service should the company use to meet these requirements MOST cost-effectively?

Explanations:

AWS Snowball Edge Storage Optimized is designed for smaller-scale data transfers (up to 100 TB per appliance), making it less suitable for moving 75 petabytes of data. It would require multiple units and would not be the most cost-effective option.

AWS Snowmobile is a secure, portable data transfer service that can transport large amounts of data (up to 100 PB per Snowmobile) via a shipping container. It is specifically designed for massive data migrations, making it the most cost-effective option for transferring 75 petabytes.

AWS Direct Connect provides dedicated network connections for transferring data to AWS, but it is not ideal for transferring very large volumes of data in a single migration, as it incurs ongoing costs and is dependent on internet bandwidth. It may be more suitable for ongoing transfers rather than a one-time migration of 75 petabytes.

AWS Storage Gateway is primarily used for hybrid cloud storage solutions and offers continuous data transfer rather than bulk migration. It is not designed for moving such large datasets cost-effectively in one go, making it unsuitable for this requirement.