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Answer:

Sure, I'd be happy to explain it to you.

Let's assume the total land in the whole earth as L and the total water as W. According to the given information, the ratio of land to water for the whole earth is 1:2. This means that L:W = 1:2.

Now, let's consider the northern hemisphere. The ratio of land to water in the northern hemisphere is given as 2:3. Let's assume the land in the northern hemisphere as LN and the water as WN. Therefore, LN:WN = 2:3.

Since the northern hemisphere is a part of the whole earth, we can say that LN is a part of L and WN is a part of W. So, we can write the following equation:

LN/L = WN/W

Now, let's solve for LN/L:

LN/L = WN/W

LN = (WN/W) * L

We know that LN:WN = 2:3, so we can substitute this ratio into the equation:

LN = (2/3) * L

Similarly, we can solve for WN/W:

LN/L = WN/W

WN = (LN/L) * W

Substituting the value of LN from the previous equation:

WN = (2/3) * W

Therefore, the ratio of land to water in the southern hemisphere (LS:WS) can be calculated as follows:

LS:WS = (L - LN):(W - WN)

LS:WS = (L - (2/3) * L):(W - (2/3) * W)

LS:WS = (1/3) * L:(1/3) * W

LS:WS = L:W

Since the ratio of land to water in the southern hemisphere is the same as the ratio for the whole earth, the ratio of land to water in the southern hemisphere is 1:2.

I hope this explanation helps! Let me know if you have any further questions.