Finding the Third Proportional to 248,392,342,517 and 540,305,593,800
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Solution
The third proportional to 248,392,342,517 and 540,305,593,800 is: 1,175,278,318,700.95
Step by Step Solution
- Step 1: Write the proportion equation
248,392,342,517 : 540,305,593,800 = 540,305,593,800 : x - Step 2: Convert to fraction form
248,392,342,517/540,305,593,800 = 540,305,593,800/x - Step 3: Cross multiply
248,392,342,517x = 540,305,593,800 × 540,305,593,800 - Step 4: Simplify right side
248,392,342,517x = 291,930,134,691,570,583,076,864 - Step 5: Solve for x
x = 291,930,134,691,570,583,076,864/248,392,342,517 - Step 6: Final answer
x = 1,175,278,318,700.95
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.