The numbers on both sides of 47 are 46 and 48. This is because 47 is the number that lies between 46 and 48 in the sequence of natural numbers. The sequence of natural numbers is a set of positive integers starting from 1 and increasing by 1 for each subsequent number. Therefore, 46 is the number immediately preceding 47, and 48 is the number immediately following 47.

The reason why 46 and 48 are the numbers on both sides of 47 is due to the fundamental nature of the sequence of natural numbers. This sequence is defined by the properties of order and continuity, where each number is uniquely positioned relative to its neighbors. According to the definition of natural numbers, there is always a unique number that precedes and follows any given number in the sequence. In the case of 47, 46 is the preceding number and 48 is the succeeding number.

Data from the sequence of natural numbers, which is a well-established mathematical concept, supports this explanation. The sequence of natural numbers is a fundamental concept in mathematics and is used in various mathematical operations and calculations. The properties of this sequence, including the unique positioning of each number, are well-documented and have been used in numerous mathematical studies and applications.

For instance, in number theory, the sequence of natural numbers is used to study properties of integers, such as divisibility and prime numbers. In arithmetic, the sequence is used to perform basic operations like addition, subtraction, multiplication, and division. The continuity and order of the sequence ensure that each number has a unique position relative to its neighbors, which is why 46 and 48 are the numbers on both sides of 47.