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Finding the Third Proportional to 49,711,029 and 108,026,838

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Solution

The third proportional to 49,711,029 and 108,026,838 is: 234,752,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,711,029 : 108,026,838 = 108,026,838 : x
  2. Step 2: Convert to fraction form
    49,711,029/108,026,838 = 108,026,838/x
  3. Step 3: Cross multiply
    49,711,029x = 108,026,838 × 108,026,838
  4. Step 4: Simplify right side
    49,711,029x = 11,669,797,728,278,244
  5. Step 5: Solve for x
    x = 11,669,797,728,278,244/49,711,029
  6. Step 6: Final answer
    x = 234,752,688.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.