Finding the Third Proportional to 548,077,325,668 and 1,141,259,096,849
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Solution
The third proportional to 548,077,325,668 and 1,141,259,096,849 is: 2,376,438,989,796.07
Step by Step Solution
- Step 1: Write the proportion equation
548,077,325,668 : 1,141,259,096,849 = 1,141,259,096,849 : x - Step 2: Convert to fraction form
548,077,325,668/1,141,259,096,849 = 1,141,259,096,849/x - Step 3: Cross multiply
548,077,325,668x = 1,141,259,096,849 × 1,141,259,096,849 - Step 4: Simplify right side
548,077,325,668x = 1,302,472,326,140,595,101,761,536 - Step 5: Solve for x
x = 1,302,472,326,140,595,101,761,536/548,077,325,668 - Step 6: Final answer
x = 2,376,438,989,796.07
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.