Image size issue when converting from RAW to TIF

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The camera scanned RAW images are captured using 1300 D Canon Camera. Then, RAW files are converted to TIF files using Digital Photo Professional Software. The RAW images are around 23MB - 35MB, but the converted TIF images are more than that of the size (around 60MB - 75MB).

While looking into this issue, we had to refer the following articles and the StackExchange answers to get a brief explanation for this issue.

The RAW images are 4000 X 6000 pixels size.

To get 400 DPI size images we have to divide both the height and width of the image by 400. The required TIF image size would be 6000/400 X 4000/400 = 15 X 10

To get 300 DPI size images we have to divide both the height and width of the image by 400. The required TIF image size would be 6000/300 X 4000/300 = 20 X 13.333

The conversion using TIF compression to convert RAW to TIF, TIF is lossless compression. We tried by using JPEG compression instead of TIF compression this gave 28MB RAW image to 14MB JPEG file. But, according to archive methodology JPEG is not a good format for archiving purposes. So, we have to change the pixels of the Camera used for scanning.

Another observation was that the TIF image capcity is varies when changing the height and width pixels. i.e: 6000 x 4000 changed to 5000 x 35000 the TIF size changes. It does not changes according to the DPI. When DPI changes for a particular RAW image size there is no TIF image size difference

Need to get a reason behind all these things.