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Finding the Third Proportional to 49,290,744 and 109,914,966

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Solution

The third proportional to 49,290,744 and 109,914,966 is: 245,102,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,290,744 : 109,914,966 = 109,914,966 : x
  2. Step 2: Convert to fraction form
    49,290,744/109,914,966 = 109,914,966/x
  3. Step 3: Cross multiply
    49,290,744x = 109,914,966 × 109,914,966
  4. Step 4: Simplify right side
    49,290,744x = 12,081,299,750,781,156
  5. Step 5: Solve for x
    x = 12,081,299,750,781,156/49,290,744
  6. Step 6: Final answer
    x = 245,102,807.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.