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Finding the Third Proportional to 49,321,251 and 105,914,646

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Solution

The third proportional to 49,321,251 and 105,914,646 is: 227,445,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321,251 : 105,914,646 = 105,914,646 : x
  2. Step 2: Convert to fraction form
    49,321,251/105,914,646 = 105,914,646/x
  3. Step 3: Cross multiply
    49,321,251x = 105,914,646 × 105,914,646
  4. Step 4: Simplify right side
    49,321,251x = 11,217,912,237,305,316
  5. Step 5: Solve for x
    x = 11,217,912,237,305,316/49,321,251
  6. Step 6: Final answer
    x = 227,445,817.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.