Finding the Third Proportional to 659,479,951,206 and 1,428,467,322,828
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Solution
The third proportional to 659,479,951,206 and 1,428,467,322,828 is: 3,094,133,322,257.74
Step by Step Solution
- Step 1: Write the proportion equation
659,479,951,206 : 1,428,467,322,828 = 1,428,467,322,828 : x - Step 2: Convert to fraction form
659,479,951,206/1,428,467,322,828 = 1,428,467,322,828/x - Step 3: Cross multiply
659,479,951,206x = 1,428,467,322,828 × 1,428,467,322,828 - Step 4: Simplify right side
659,479,951,206x = 2,040,518,892,387,393,651,867,648 - Step 5: Solve for x
x = 2,040,518,892,387,393,651,867,648/659,479,951,206 - Step 6: Final answer
x = 3,094,133,322,257.74
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.