Two first order reactions proceed at `25^(@)C` at the same rate. The temperature coefficient of the rate of the first reaction is `2` and that of second reaction is `3`. Find the ratio of the rates of these reactions at `75^(@)C`.

Explanation

To solve the problem, we need to find the ratio of the rates of two first-order reactions at a higher temperature (75°C) given their temperature coefficients and their rates at a lower temperature (25°C).

### Step-by-Step Solution:

1. **Identify the Given Data**:
- Temperature at which both reactions proceed: \( T_1 = 25°C \)
- Higher temperature: \( T_2 = 75°C \)
- Temperature coefficient of the first reaction: \( \theta_1 = 2 \)
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