Finding the Third Proportional to 126,380,172,720 and 263,220,757,344
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Solution
The third proportional to 126,380,172,720 and 263,220,757,344 is: 548,228,140,582.25
Step by Step Solution
- Step 1: Write the proportion equation
126,380,172,720 : 263,220,757,344 = 263,220,757,344 : x - Step 2: Convert to fraction form
126,380,172,720/263,220,757,344 = 263,220,757,344/x - Step 3: Cross multiply
126,380,172,720x = 263,220,757,344 × 263,220,757,344 - Step 4: Simplify right side
126,380,172,720x = 69,285,167,096,748,929,187,840 - Step 5: Solve for x
x = 69,285,167,096,748,929,187,840/126,380,172,720 - Step 6: Final answer
x = 548,228,140,582.25
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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.