Finding the Third Proportional to 150,930,624,270 and 323,063,414,556
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Solution
The third proportional to 150,930,624,270 and 323,063,414,556 is: 691,509,561,623.98
Step by Step Solution
- Step 1: Write the proportion equation
150,930,624,270 : 323,063,414,556 = 323,063,414,556 : x - Step 2: Convert to fraction form
150,930,624,270/323,063,414,556 = 323,063,414,556/x - Step 3: Cross multiply
150,930,624,270x = 323,063,414,556 × 323,063,414,556 - Step 4: Simplify right side
150,930,624,270x = 104,369,969,824,581,904,498,688 - Step 5: Solve for x
x = 104,369,969,824,581,904,498,688/150,930,624,270 - Step 6: Final answer
x = 691,509,561,623.98
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.