Finding the Third Proportional to 461,719,352,832 and 992,925,880,584
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Solution
The third proportional to 461,719,352,832 and 992,925,880,584 is: 2,135,283,691,892.90
Step by Step Solution
- Step 1: Write the proportion equation
461,719,352,832 : 992,925,880,584 = 992,925,880,584 : x - Step 2: Convert to fraction form
461,719,352,832/992,925,880,584 = 992,925,880,584/x - Step 3: Cross multiply
461,719,352,832x = 992,925,880,584 × 992,925,880,584 - Step 4: Simplify right side
461,719,352,832x = 985,901,804,333,511,861,075,968 - Step 5: Solve for x
x = 985,901,804,333,511,861,075,968/461,719,352,832 - Step 6: Final answer
x = 2,135,283,691,892.90
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.