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Finding the Third Proportional to 49,493,029.50 and 74,876,558.25

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Solution

The third proportional to 49,493,029.50 and 74,876,558.25 is: 113,278,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,493,029.50 : 74,876,558.25 = 74,876,558.25 : x
  2. Step 2: Convert to fraction form
    49,493,029.50/74,876,558.25 = 74,876,558.25/x
  3. Step 3: Cross multiply
    49,493,029.50x = 74,876,558.25 × 74,876,558.25
  4. Step 4: Simplify right side
    49,493,029.50x = 5,606,498,975,365,643
  5. Step 5: Solve for x
    x = 5,606,498,975,365,643/49,493,029.50
  6. Step 6: Final answer
    x = 113,278,557.24

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