Finding the Third Proportional to 6,782,616 and 14,743,296
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Solution
The third proportional to 6,782,616 and 14,743,296 is: 32,047,336.45
Step by Step Solution
- Step 1: Write the proportion equation
6,782,616 : 14,743,296 = 14,743,296 : x - Step 2: Convert to fraction form
6,782,616/14,743,296 = 14,743,296/x - Step 3: Cross multiply
6,782,616x = 14,743,296 × 14,743,296 - Step 4: Simplify right side
6,782,616x = 217,364,776,943,616 - Step 5: Solve for x
x = 217,364,776,943,616/6,782,616 - Step 6: Final answer
x = 32,047,336.45
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.