Finding the Third Proportional to 683,257,170,524 and 1,469,342,195,872
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Solution
The third proportional to 683,257,170,524 and 1,469,342,195,872 is: 3,159,815,339,975.44
Step by Step Solution
- Step 1: Write the proportion equation
683,257,170,524 : 1,469,342,195,872 = 1,469,342,195,872 : x - Step 2: Convert to fraction form
683,257,170,524/1,469,342,195,872 = 1,469,342,195,872/x - Step 3: Cross multiply
683,257,170,524x = 1,469,342,195,872 × 1,469,342,195,872 - Step 4: Simplify right side
683,257,170,524x = 2,158,966,488,569,950,909,759,488 - Step 5: Solve for x
x = 2,158,966,488,569,950,909,759,488/683,257,170,524 - Step 6: Final answer
x = 3,159,815,339,975.44
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.