Finding the Third Proportional to 512,207,744 and 1,102,101,216
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Solution
The third proportional to 512,207,744 and 1,102,101,216 is: 2,371,356,357.92
Step by Step Solution
- Step 1: Write the proportion equation
512,207,744 : 1,102,101,216 = 1,102,101,216 : x - Step 2: Convert to fraction form
512,207,744/1,102,101,216 = 1,102,101,216/x - Step 3: Cross multiply
512,207,744x = 1,102,101,216 × 1,102,101,216 - Step 4: Simplify right side
512,207,744x = 1,214,627,090,308,678,656 - Step 5: Solve for x
x = 1,214,627,090,308,678,656/512,207,744 - Step 6: Final answer
x = 2,371,356,357.92
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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.