Finding the Third Proportional to 275,510,592,168 and 427,771,459,845
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Solution
The third proportional to 275,510,592,168 and 427,771,459,845 is: 664,179,262,285.28
Step by Step Solution
- Step 1: Write the proportion equation
275,510,592,168 : 427,771,459,845 = 427,771,459,845 : x - Step 2: Convert to fraction form
275,510,592,168/427,771,459,845 = 427,771,459,845/x - Step 3: Cross multiply
275,510,592,168x = 427,771,459,845 × 427,771,459,845 - Step 4: Simplify right side
275,510,592,168x = 182,988,421,857,922,433,155,072 - Step 5: Solve for x
x = 182,988,421,857,922,433,155,072/275,510,592,168 - Step 6: Final answer
x = 664,179,262,285.28
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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.