Finding the Third Proportional to 38,022,534 and 82,105,650
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Solution
The third proportional to 38,022,534 and 82,105,650 is: 177,298,487.31
Step by Step Solution
- Step 1: Write the proportion equation
38,022,534 : 82,105,650 = 82,105,650 : x - Step 2: Convert to fraction form
38,022,534/82,105,650 = 82,105,650/x - Step 3: Cross multiply
38,022,534x = 82,105,650 × 82,105,650 - Step 4: Simplify right side
38,022,534x = 6,741,337,761,922,500 - Step 5: Solve for x
x = 6,741,337,761,922,500/38,022,534 - Step 6: Final answer
x = 177,298,487.31
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.