Finding the Third Proportional to 269,915,461,014 and 562,171,665,978
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Solution
The third proportional to 269,915,461,014 and 562,171,665,978 is: 1,170,873,950,092.42
Step by Step Solution
- Step 1: Write the proportion equation
269,915,461,014 : 562,171,665,978 = 562,171,665,978 : x - Step 2: Convert to fraction form
269,915,461,014/562,171,665,978 = 562,171,665,978/x - Step 3: Cross multiply
269,915,461,014x = 562,171,665,978 × 562,171,665,978 - Step 4: Simplify right side
269,915,461,014x = 316,036,982,028,479,978,536,960 - Step 5: Solve for x
x = 316,036,982,028,479,978,536,960/269,915,461,014 - Step 6: Final answer
x = 1,170,873,950,092.42
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.