Finding the Third Proportional to 848,741,584,840 and 1,851,096,464,165
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Solution
The third proportional to 848,741,584,840 and 1,851,096,464,165 is: 4,037,221,906,936.63
Step by Step Solution
- Step 1: Write the proportion equation
848,741,584,840 : 1,851,096,464,165 = 1,851,096,464,165 : x - Step 2: Convert to fraction form
848,741,584,840/1,851,096,464,165 = 1,851,096,464,165/x - Step 3: Cross multiply
848,741,584,840x = 1,851,096,464,165 × 1,851,096,464,165 - Step 4: Simplify right side
848,741,584,840x = 3,426,558,119,644,164,874,305,536 - Step 5: Solve for x
x = 3,426,558,119,644,164,874,305,536/848,741,584,840 - Step 6: Final answer
x = 4,037,221,906,936.63
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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.