Finding the Third Proportional to 714,775,901,141.25 and 1,531,523,969,244
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Solution
The third proportional to 714,775,901,141.25 and 1,531,523,969,244 is: 3,281,539,940,873.55
Step by Step Solution
- Step 1: Write the proportion equation
714,775,901,141.25 : 1,531,523,969,244 = 1,531,523,969,244 : x - Step 2: Convert to fraction form
714,775,901,141.25/1,531,523,969,244 = 1,531,523,969,244/x - Step 3: Cross multiply
714,775,901,141.25x = 1,531,523,969,244 × 1,531,523,969,244 - Step 4: Simplify right side
714,775,901,141.25x = 2,345,565,668,368,896,665,583,616 - Step 5: Solve for x
x = 2,345,565,668,368,896,665,583,616/714,775,901,141.25 - Step 6: Final answer
x = 3,281,539,940,873.55
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.