Finding the Third Proportional to 382,557,441,966 and 885,643,927,464
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Solution
The third proportional to 382,557,441,966 and 885,643,927,464 is: 2,050,319,978,675.44
Step by Step Solution
- Step 1: Write the proportion equation
382,557,441,966 : 885,643,927,464 = 885,643,927,464 : x - Step 2: Convert to fraction form
382,557,441,966/885,643,927,464 = 885,643,927,464/x - Step 3: Cross multiply
382,557,441,966x = 885,643,927,464 × 885,643,927,464 - Step 4: Simplify right side
382,557,441,966x = 784,365,166,253,858,936,061,952 - Step 5: Solve for x
x = 784,365,166,253,858,936,061,952/382,557,441,966 - Step 6: Final answer
x = 2,050,319,978,675.44
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.