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Finding the Third Proportional to 46,694,652 and 74,594,989.50

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Solution

The third proportional to 46,694,652 and 74,594,989.50 is: 119,165,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,694,652 : 74,594,989.50 = 74,594,989.50 : x
  2. Step 2: Convert to fraction form
    46,694,652/74,594,989.50 = 74,594,989.50/x
  3. Step 3: Cross multiply
    46,694,652x = 74,594,989.50 × 74,594,989.50
  4. Step 4: Simplify right side
    46,694,652x = 5,564,412,458,505,110
  5. Step 5: Solve for x
    x = 5,564,412,458,505,110/46,694,652
  6. Step 6: Final answer
    x = 119,165,947.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.