Equal volumes of three liquids of densities `rho_1`,`rho_2` and `rho_3`, specific heat capacities `c_1,c_2` and `c_3` and temperatures `t_1,t_2` and `t_3`, respectively are mixed together. What is the temperature of the mixture? Assume no changes in volume on mixing.

Explanation

To find the temperature of the mixture when equal volumes of three liquids with different densities, specific heat capacities, and initial temperatures are mixed, we can follow these steps:

### Step-by-Step Solution:

1. **Define the Variables**:
Let the volumes of the three liquids be \( V \). The densities of the liquids are \( \rho_1, \rho_2, \rho_3 \), their specific heat capacities are \( c_1, c_2, c_3 \), and their initial temperatures are \( t_1, t_2, t_3 \).

2. **Calculate the Masses**:
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