Finding the Third Proportional to 484,261,707,042 and 1,040,389,410,278.20
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Solution
The third proportional to 484,261,707,042 and 1,040,389,410,278.20 is: 2,235,175,958,121.22
Step by Step Solution
- Step 1: Write the proportion equation
484,261,707,042 : 1,040,389,410,278.20 = 1,040,389,410,278.20 : x - Step 2: Convert to fraction form
484,261,707,042/1,040,389,410,278.20 = 1,040,389,410,278.20/x - Step 3: Cross multiply
484,261,707,042x = 1,040,389,410,278.20 × 1,040,389,410,278.20 - Step 4: Simplify right side
484,261,707,042x = 1,082,410,125,019,020,609,454,080 - Step 5: Solve for x
x = 1,082,410,125,019,020,609,454,080/484,261,707,042 - Step 6: Final answer
x = 2,235,175,958,121.22
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.