Finding the Third Proportional to 799,109,905,858 and 1,640,582,955,778
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Solution
The third proportional to 799,109,905,858 and 1,640,582,955,778 is: 3,368,137,993,358.27
Step by Step Solution
- Step 1: Write the proportion equation
799,109,905,858 : 1,640,582,955,778 = 1,640,582,955,778 : x - Step 2: Convert to fraction form
799,109,905,858/1,640,582,955,778 = 1,640,582,955,778/x - Step 3: Cross multiply
799,109,905,858x = 1,640,582,955,778 × 1,640,582,955,778 - Step 4: Simplify right side
799,109,905,858x = 2,691,512,434,789,278,952,718,336 - Step 5: Solve for x
x = 2,691,512,434,789,278,952,718,336/799,109,905,858 - Step 6: Final answer
x = 3,368,137,993,358.27
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.