Finding the Third Proportional to 235,495,641,247 and 513,613,515,163
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Solution
The third proportional to 235,495,641,247 and 513,613,515,163 is: 1,120,185,671,213.37
Step by Step Solution
- Step 1: Write the proportion equation
235,495,641,247 : 513,613,515,163 = 513,613,515,163 : x - Step 2: Convert to fraction form
235,495,641,247/513,613,515,163 = 513,613,515,163/x - Step 3: Cross multiply
235,495,641,247x = 513,613,515,163 × 513,613,515,163 - Step 4: Simplify right side
235,495,641,247x = 263,798,842,958,093,236,568,064 - Step 5: Solve for x
x = 263,798,842,958,093,236,568,064/235,495,641,247 - Step 6: Final answer
x = 1,120,185,671,213.37
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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.