Definition of "miraculously"

When he woke for the second time he saw me, and began to question me as to what had happened, but I had to put him off as best I could till the morrow, when he awoke almost miraculously better.

1886 October – 1887 January, H[enry] Rider Haggard, She: A History of Adventure, London: Longmans, Green, and Co., published 1887

Almost miraculously, [risk-neutral valuation] finesses the problem that we know hardly anything about the risk aversion of the buyers and sellers of options.

2018, John C. Hull, Options, Futures and Other Derivatives, 10th edition, Pearson, page 276