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Finding the Third Proportional to 49,965,987 and 74,533,072.50

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Solution

The third proportional to 49,965,987 and 74,533,072.50 is: 111,179,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,965,987 : 74,533,072.50 = 74,533,072.50 : x
  2. Step 2: Convert to fraction form
    49,965,987/74,533,072.50 = 74,533,072.50/x
  3. Step 3: Cross multiply
    49,965,987x = 74,533,072.50 × 74,533,072.50
  4. Step 4: Simplify right side
    49,965,987x = 5,555,178,896,290,256
  5. Step 5: Solve for x
    x = 5,555,178,896,290,256/49,965,987
  6. Step 6: Final answer
    x = 111,179,208.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.