Finding the Third Proportional to 72,727,158,446 and 169,923,457,978
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Solution
The third proportional to 72,727,158,446 and 169,923,457,978 is: 397,017,870,464.99
Step by Step Solution
- Step 1: Write the proportion equation
72,727,158,446 : 169,923,457,978 = 169,923,457,978 : x - Step 2: Convert to fraction form
72,727,158,446/169,923,457,978 = 169,923,457,978/x - Step 3: Cross multiply
72,727,158,446x = 169,923,457,978 × 169,923,457,978 - Step 4: Simplify right side
72,727,158,446x = 28,873,981,571,201,132,134,400 - Step 5: Solve for x
x = 28,873,981,571,201,132,134,400/72,727,158,446 - Step 6: Final answer
x = 397,017,870,464.99
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.