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Finding the Third Proportional to 12,142,120.50 and 24,771,975.75

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Solution

The third proportional to 12,142,120.50 and 24,771,975.75 is: 50,539,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,120.50 : 24,771,975.75 = 24,771,975.75 : x
  2. Step 2: Convert to fraction form
    12,142,120.50/24,771,975.75 = 24,771,975.75/x
  3. Step 3: Cross multiply
    12,142,120.50x = 24,771,975.75 × 24,771,975.75
  4. Step 4: Simplify right side
    12,142,120.50x = 613,650,782,558,588
  5. Step 5: Solve for x
    x = 613,650,782,558,588/12,142,120.50
  6. Step 6: Final answer
    x = 50,539,012.73

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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.