Finding the Third Proportional to 274,612,171 and 414,471,997
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Solution
The third proportional to 274,612,171 and 414,471,997 is: 625,562,354.62
Step by Step Solution
- Step 1: Write the proportion equation
274,612,171 : 414,471,997 = 414,471,997 : x - Step 2: Convert to fraction form
274,612,171/414,471,997 = 414,471,997/x - Step 3: Cross multiply
274,612,171x = 414,471,997 × 414,471,997 - Step 4: Simplify right side
274,612,171x = 171,787,036,297,168,000 - Step 5: Solve for x
x = 171,787,036,297,168,000/274,612,171 - Step 6: Final answer
x = 625,562,354.62
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.