Finding the Third Proportional to 7,709,744.25 and 16,445,463.75
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Solution
The third proportional to 7,709,744.25 and 16,445,463.75 is: 35,079,409.79
Step by Step Solution
- Step 1: Write the proportion equation
7,709,744.25 : 16,445,463.75 = 16,445,463.75 : x - Step 2: Convert to fraction form
7,709,744.25/16,445,463.75 = 16,445,463.75/x - Step 3: Cross multiply
7,709,744.25x = 16,445,463.75 × 16,445,463.75 - Step 4: Simplify right side
7,709,744.25x = 270,453,277,952,564.06 - Step 5: Solve for x
x = 270,453,277,952,564.06/7,709,744.25 - Step 6: Final answer
x = 35,079,409.79
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.