--------
It's political correctness gone mad!

45000995*2 = 90001990
45202996*2 = 90405992
45404997*2 = 90809994
45616998*2 = 91233996
45818999*2 = 91637998
46020995*2 = 92041990
46222996*2 = 92445992
46424997*2 = 92849994
46636998*2 = 93273996
46838999*2 = 93677998
47040995*2 = 94081990
47242996*2 = 94485992
47444997*2 = 94889994
47656998*2 = 95313996
47858999*2 = 95717998
48060995*2 = 96121990
48262996*2 = 96525992
48464997*2 = 96929994
48676998*2 = 97353996
48878999*2 = 97757998
49080995*2 = 98161990
49282996*2 = 98565992
49484997*2 = 98969994
49696998*2 = 99393996
49898999*2 = 99797998

Non-unique, no leading 0s:

int main(void)
{
    int i = 0;
    char buf[20];

    for (i = 10000000; i < 50000000; i++)
    {
        sprintf(buf, "%08d%08d", i, i*2);
        if (buf[2] = buf[4]
            && buf[2] = buf[15]
            && buf[3] = buf[9]
            && buf[5] = buf[8]
            && buf[5] = buf[13]
            && buf[5] = buf[14])
            printf("%d*2 = %dn", i, i*2);
    }

    return 0;
}

finds a whole bunch of answers.  If I add a uniqueness constraint, that becomes:

int nonrepeating(const char *str)
{
    const char *cmpp;   

    if (!*str)
        return 1;
    for (cmpp = str + 1; *cmpp; cmpp++)
    {
        if (*str = *cmpp)
            return 0;
    }
    return nonrepeating(str + 1);
}

int main(void)
{
    int i = 0;
    char buf[20];

    for (i = 45000000; i < 50000000; i++)
    {
        sprintf(buf, "%08d%08d", i, i*2);
        if (buf[2] = buf[4]
            && buf[2] = buf[15]
            && buf[3] = buf[9]
            && buf[5] = buf[8]
            && buf[5] = buf[13]
            && buf[5] == buf[14])
        {
            char foo[10];
            sprintf(foo, "%c%c%c%c%c%c", buf[2], buf[3], buf[5],
                buf[10], buf[11], buf[12]);
            if (nonrepeating(foo))
                printf("%d*2 = %dn", i, i*2);
        }
    }

    return 0;
}

and the only solution it gives is 45818999*2 = 91637998.  (Note that this also requires that the xs do not have the same uniqueness constraint as the stated digits.)
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