C's float and double precision? [duplicate]

Question

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I recently found this C code online.

#include <stdio.h>

int main() {
    double x = 3.1;
    float y = 3.1;

    if(x==y)
        printf("yes");
    else
        printf("No");
}

The output is No.

I added a few more printf calls to investigate

#include <stdio.h>

int main() {
    double x = 3.1;
    float y = 3.1;

    if(x==y)
        printf("yes");
    else
        printf("No");

    printf("%.10f\n", y);
    printf("%.10f\n", x);

    return 0;
}

The output came as

3.0999999046
3.1000000000

Why is it so? Why has the float variable lost its precision when printed to 10 decimal places?