Finding the Third Proportional to 5,082,414.19 and 7,742,719.13
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Solution
The third proportional to 5,082,414.19 and 7,742,719.13 is: 11,795,516.31
Step by Step Solution
- Step 1: Write the proportion equation
5,082,414.19 : 7,742,719.13 = 7,742,719.13 : x - Step 2: Convert to fraction form
5,082,414.19/7,742,719.13 = 7,742,719.13/x - Step 3: Cross multiply
5,082,414.19x = 7,742,719.13 × 7,742,719.13 - Step 4: Simplify right side
5,082,414.19x = 59,949,699,448,640.77 - Step 5: Solve for x
x = 59,949,699,448,640.77/5,082,414.19 - Step 6: Final answer
x = 11,795,516.31
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.