Finding the Third Proportional to 82,642,854 and 180,166,072
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Solution
The third proportional to 82,642,854 and 180,166,072 is: 392,772,174.83
Step by Step Solution
- Step 1: Write the proportion equation
82,642,854 : 180,166,072 = 180,166,072 : x - Step 2: Convert to fraction form
82,642,854/180,166,072 = 180,166,072/x - Step 3: Cross multiply
82,642,854x = 180,166,072 × 180,166,072 - Step 4: Simplify right side
82,642,854x = 32,459,813,499,909,184 - Step 5: Solve for x
x = 32,459,813,499,909,184/82,642,854 - Step 6: Final answer
x = 392,772,174.83
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.