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Finding the Third Proportional to 20,180,971.50 and 31,308,042

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Solution

The third proportional to 20,180,971.50 and 31,308,042 is: 48,570,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180,971.50 : 31,308,042 = 31,308,042 : x
  2. Step 2: Convert to fraction form
    20,180,971.50/31,308,042 = 31,308,042/x
  3. Step 3: Cross multiply
    20,180,971.50x = 31,308,042 × 31,308,042
  4. Step 4: Simplify right side
    20,180,971.50x = 980,193,493,873,764
  5. Step 5: Solve for x
    x = 980,193,493,873,764/20,180,971.50
  6. Step 6: Final answer
    x = 48,570,183.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.