Finding the Third Proportional to 10,097,184 and 21,734,016
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Solution
The third proportional to 10,097,184 and 21,734,016 is: 46,782,098.01
Step by Step Solution
- Step 1: Write the proportion equation
10,097,184 : 21,734,016 = 21,734,016 : x - Step 2: Convert to fraction form
10,097,184/21,734,016 = 21,734,016/x - Step 3: Cross multiply
10,097,184x = 21,734,016 × 21,734,016 - Step 4: Simplify right side
10,097,184x = 472,367,451,488,256 - Step 5: Solve for x
x = 472,367,451,488,256/10,097,184 - Step 6: Final answer
x = 46,782,098.01
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.