Finding the Third Proportional to 683,257,170,678 and 1,469,342,196,084
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Solution
The third proportional to 683,257,170,678 and 1,469,342,196,084 is: 3,159,815,340,175.06
Step by Step Solution
- Step 1: Write the proportion equation
683,257,170,678 : 1,469,342,196,084 = 1,469,342,196,084 : x - Step 2: Convert to fraction form
683,257,170,678/1,469,342,196,084 = 1,469,342,196,084/x - Step 3: Cross multiply
683,257,170,678x = 1,469,342,196,084 × 1,469,342,196,084 - Step 4: Simplify right side
683,257,170,678x = 2,158,966,489,192,952,022,171,648 - Step 5: Solve for x
x = 2,158,966,489,192,952,022,171,648/683,257,170,678 - Step 6: Final answer
x = 3,159,815,340,175.06
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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.