Finding the Third Proportional to 451,163,358,170 and 682,557,112,228
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Solution
The third proportional to 451,163,358,170 and 682,557,112,228 is: 1,032,628,654,380.84
Step by Step Solution
- Step 1: Write the proportion equation
451,163,358,170 : 682,557,112,228 = 682,557,112,228 : x - Step 2: Convert to fraction form
451,163,358,170/682,557,112,228 = 682,557,112,228/x - Step 3: Cross multiply
451,163,358,170x = 682,557,112,228 × 682,557,112,228 - Step 4: Simplify right side
451,163,358,170x = 465,884,211,453,026,614,902,784 - Step 5: Solve for x
x = 465,884,211,453,026,614,902,784/451,163,358,170 - Step 6: Final answer
x = 1,032,628,654,380.84
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.