Finding the Third Proportional to 256,621,436,916 and 534,361,740,342
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Solution
The third proportional to 256,621,436,916 and 534,361,740,342 is: 1,112,699,207,723.62
Step by Step Solution
- Step 1: Write the proportion equation
256,621,436,916 : 534,361,740,342 = 534,361,740,342 : x - Step 2: Convert to fraction form
256,621,436,916/534,361,740,342 = 534,361,740,342/x - Step 3: Cross multiply
256,621,436,916x = 534,361,740,342 × 534,361,740,342 - Step 4: Simplify right side
256,621,436,916x = 285,542,469,541,331,042,566,144 - Step 5: Solve for x
x = 285,542,469,541,331,042,566,144/256,621,436,916 - Step 6: Final answer
x = 1,112,699,207,723.62
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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.