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  • $\begingroup$ I tried the back-of-an-envelope-calculation with a couple approximations, and the conclusion aligns with your answer. Thank you for your time in answering my question. $\endgroup$ Commented 22 hours ago
  • 2
    $\begingroup$ You left off a few "manys". $\endgroup$ Commented 17 hours ago
  • $\begingroup$ @LeeMosher :-) ${}{}{}$ $\endgroup$ Commented 17 hours ago