A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

Let the actual length of the bacteria be x cm and enlarged length be y cm when it is enlarged 20,000 times.

The given information in the form of table is as follows

Length of bacteria in cm | 5 | x | y |

Number of times the photograph of bacteria was enlarged | 50,000 | 1 | 20,000 |

The above information is in direct proportion.

Therefore,

5/50,000 = x/1

→x = 10^{-4} cm

Hence the actual length of bacteria is 10^{-4} cm

5/50,000 = y/20,000

→y = 2 cm

Hence, the enlarged length of bacteria when it is enlarged 20,000 times is 2cm

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