Finding the Third Proportional to 82,283,988,769 and 125,885,289,851
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Solution
The third proportional to 82,283,988,769 and 125,885,289,851 is: 192,590,398,666.24
Step by Step Solution
- Step 1: Write the proportion equation
82,283,988,769 : 125,885,289,851 = 125,885,289,851 : x - Step 2: Convert to fraction form
82,283,988,769/125,885,289,851 = 125,885,289,851/x - Step 3: Cross multiply
82,283,988,769x = 125,885,289,851 × 125,885,289,851 - Step 4: Simplify right side
82,283,988,769x = 15,847,106,200,870,284,427,264 - Step 5: Solve for x
x = 15,847,106,200,870,284,427,264/82,283,988,769 - Step 6: Final answer
x = 192,590,398,666.24
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.