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Finding the Third Proportional to 32,049,953.44 and 65,232,605.81

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Solution

The third proportional to 32,049,953.44 and 65,232,605.81 is: 132,770,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049,953.44 : 65,232,605.81 = 65,232,605.81 : x
  2. Step 2: Convert to fraction form
    32,049,953.44/65,232,605.81 = 65,232,605.81/x
  3. Step 3: Cross multiply
    32,049,953.44x = 65,232,605.81 × 65,232,605.81
  4. Step 4: Simplify right side
    32,049,953.44x = 4,255,292,861,089,009
  5. Step 5: Solve for x
    x = 4,255,292,861,089,009/32,049,953.44
  6. Step 6: Final answer
    x = 132,770,640.97

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.