Finding the Third Proportional to 469,493,051,238 and 1,016,945,975,019
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Solution
The third proportional to 469,493,051,238 and 1,016,945,975,019 is: 2,202,757,023,517.88
Step by Step Solution
- Step 1: Write the proportion equation
469,493,051,238 : 1,016,945,975,019 = 1,016,945,975,019 : x - Step 2: Convert to fraction form
469,493,051,238/1,016,945,975,019 = 1,016,945,975,019/x - Step 3: Cross multiply
469,493,051,238x = 1,016,945,975,019 × 1,016,945,975,019 - Step 4: Simplify right side
469,493,051,238x = 1,034,179,116,107,344,535,093,248 - Step 5: Solve for x
x = 1,034,179,116,107,344,535,093,248/469,493,051,238 - Step 6: Final answer
x = 2,202,757,023,517.88
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.