Finding the Third Proportional to 327,272,213,372 and 764,655,561,620
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Solution
The third proportional to 327,272,213,372 and 764,655,561,620 is: 1,786,580,418,459.75
Step by Step Solution
- Step 1: Write the proportion equation
327,272,213,372 : 764,655,561,620 = 764,655,561,620 : x - Step 2: Convert to fraction form
327,272,213,372/764,655,561,620 = 764,655,561,620/x - Step 3: Cross multiply
327,272,213,372x = 764,655,561,620 × 764,655,561,620 - Step 4: Simplify right side
327,272,213,372x = 584,698,127,916,397,607,518,208 - Step 5: Solve for x
x = 584,698,127,916,397,607,518,208/327,272,213,372 - Step 6: Final answer
x = 1,786,580,418,459.75
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.