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Finding the Third Proportional to 49,711,014 and 108,026,804.63

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Solution

The third proportional to 49,711,014 and 108,026,804.63 is: 234,752,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,711,014 : 108,026,804.63 = 108,026,804.63 : x
  2. Step 2: Convert to fraction form
    49,711,014/108,026,804.63 = 108,026,804.63/x
  3. Step 3: Cross multiply
    49,711,014x = 108,026,804.63 × 108,026,804.63
  4. Step 4: Simplify right side
    49,711,014x = 11,669,790,517,487,922
  5. Step 5: Solve for x
    x = 11,669,790,517,487,922/49,711,014
  6. Step 6: Final answer
    x = 234,752,614.73

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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.