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Finding the Third Proportional to 274,612,087.69 and 414,471,927.38

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Solution

The third proportional to 274,612,087.69 and 414,471,927.38 is: 625,562,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,612,087.69 : 414,471,927.38 = 414,471,927.38 : x
  2. Step 2: Convert to fraction form
    274,612,087.69/414,471,927.38 = 414,471,927.38/x
  3. Step 3: Cross multiply
    274,612,087.69x = 414,471,927.38 × 414,471,927.38
  4. Step 4: Simplify right side
    274,612,087.69x = 171,786,978,581,947,264
  5. Step 5: Solve for x
    x = 171,786,978,581,947,264/274,612,087.69
  6. Step 6: Final answer
    x = 625,562,334.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.