Finding the Third Proportional to 82,023,732 and 193,624,752
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Solution
The third proportional to 82,023,732 and 193,624,752 is: 457,069,480.66
Step by Step Solution
- Step 1: Write the proportion equation
82,023,732 : 193,624,752 = 193,624,752 : x - Step 2: Convert to fraction form
82,023,732/193,624,752 = 193,624,752/x - Step 3: Cross multiply
82,023,732x = 193,624,752 × 193,624,752 - Step 4: Simplify right side
82,023,732x = 37,490,544,587,061,504 - Step 5: Solve for x
x = 37,490,544,587,061,504/82,023,732 - Step 6: Final answer
x = 457,069,480.66
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.