Finding the Third Proportional to 339,320,285,474 and 738,215,085,016
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Solution
The third proportional to 339,320,285,474 and 738,215,085,016 is: 1,606,038,704,653.09
Step by Step Solution
- Step 1: Write the proportion equation
339,320,285,474 : 738,215,085,016 = 738,215,085,016 : x - Step 2: Convert to fraction form
339,320,285,474/738,215,085,016 = 738,215,085,016/x - Step 3: Cross multiply
339,320,285,474x = 738,215,085,016 × 738,215,085,016 - Step 4: Simplify right side
339,320,285,474x = 544,961,511,745,180,137,422,848 - Step 5: Solve for x
x = 544,961,511,745,180,137,422,848/339,320,285,474 - Step 6: Final answer
x = 1,606,038,704,653.09
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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.