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Colossal Magnetoresistance (CMR) and Giant Magnetoresistance (GMR) are two important phenomena in materials science that describe drastic changes in electrical resistance under the influence of an external magnetic field. Both effects have significant implications in electronic devices and data storage technologies. Colossal Magnetoresistance is observed primarily in mixed-valence manganese oxides, known as manganites, such as La$_{1-x}$Sr$_x$MnO$_3$. In these materials, the resistance can drop by _____ _________ ____ _________ ________ ________ _________.
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