Finding the Third Proportional to 809,746,382,736 and 1,686,514,997,272
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Solution
The third proportional to 809,746,382,736 and 1,686,514,997,272 is: 3,512,621,848,847.09
Step by Step Solution
- Step 1: Write the proportion equation
809,746,382,736 : 1,686,514,997,272 = 1,686,514,997,272 : x - Step 2: Convert to fraction form
809,746,382,736/1,686,514,997,272 = 1,686,514,997,272/x - Step 3: Cross multiply
809,746,382,736x = 1,686,514,997,272 × 1,686,514,997,272 - Step 4: Simplify right side
809,746,382,736x = 2,844,332,836,023,374,161,379,328 - Step 5: Solve for x
x = 2,844,332,836,023,374,161,379,328/809,746,382,736 - Step 6: Final answer
x = 3,512,621,848,847.09
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.