Finding the Third Proportional to 319,412,619,882 and 496,165,404,307.50
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Solution
The third proportional to 319,412,619,882 and 496,165,404,307.50 is: 770,727,557,735.73
Step by Step Solution
- Step 1: Write the proportion equation
319,412,619,882 : 496,165,404,307.50 = 496,165,404,307.50 : x - Step 2: Convert to fraction form
319,412,619,882/496,165,404,307.50 = 496,165,404,307.50/x - Step 3: Cross multiply
319,412,619,882x = 496,165,404,307.50 × 496,165,404,307.50 - Step 4: Simplify right side
319,412,619,882x = 246,180,108,431,624,956,280,832 - Step 5: Solve for x
x = 246,180,108,431,624,956,280,832/319,412,619,882 - Step 6: Final answer
x = 770,727,557,735.73
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.