Finding the Third Proportional to 378,493,705,632 and 814,392,970,838
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Solution
The third proportional to 378,493,705,632 and 814,392,970,838 is: 1,752,303,673,961.73
Step by Step Solution
- Step 1: Write the proportion equation
378,493,705,632 : 814,392,970,838 = 814,392,970,838 : x - Step 2: Convert to fraction form
378,493,705,632/814,392,970,838 = 814,392,970,838/x - Step 3: Cross multiply
378,493,705,632x = 814,392,970,838 × 814,392,970,838 - Step 4: Simplify right side
378,493,705,632x = 663,235,910,950,343,474,675,712 - Step 5: Solve for x
x = 663,235,910,950,343,474,675,712/378,493,705,632 - Step 6: Final answer
x = 1,752,303,673,961.73
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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.