Finding the Third Proportional to 21,474,959,432,880 and 47,107,581,630,581
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Solution
The third proportional to 21,474,959,432,880 and 47,107,581,630,581 is: 103,335,433,718,407.09
Step by Step Solution
- Step 1: Write the proportion equation
21,474,959,432,880 : 47,107,581,630,581 = 47,107,581,630,581 : x - Step 2: Convert to fraction form
21,474,959,432,880/47,107,581,630,581 = 47,107,581,630,581/x - Step 3: Cross multiply
21,474,959,432,880x = 47,107,581,630,581 × 47,107,581,630,581 - Step 4: Simplify right side
21,474,959,432,880x = 2,219,124,247,081,852,383,424,151,552 - Step 5: Solve for x
x = 2,219,124,247,081,852,383,424,151,552/21,474,959,432,880 - Step 6: Final answer
x = 103,335,433,718,407.09
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.