Finding the Third Proportional to 125,587,386,824 and 193,036,817,676
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Solution
The third proportional to 125,587,386,824 and 193,036,817,676 is: 296,711,428,757.56
Step by Step Solution
- Step 1: Write the proportion equation
125,587,386,824 : 193,036,817,676 = 193,036,817,676 : x - Step 2: Convert to fraction form
125,587,386,824/193,036,817,676 = 193,036,817,676/x - Step 3: Cross multiply
125,587,386,824x = 193,036,817,676 × 193,036,817,676 - Step 4: Simplify right side
125,587,386,824x = 37,263,212,978,477,264,273,408 - Step 5: Solve for x
x = 37,263,212,978,477,264,273,408/125,587,386,824 - Step 6: Final answer
x = 296,711,428,757.56
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.