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Finding the Third Proportional to 24,424,153 and 37,783,999.50

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Solution

The third proportional to 24,424,153 and 37,783,999.50 is: 58,451,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424,153 : 37,783,999.50 = 37,783,999.50 : x
  2. Step 2: Convert to fraction form
    24,424,153/37,783,999.50 = 37,783,999.50/x
  3. Step 3: Cross multiply
    24,424,153x = 37,783,999.50 × 37,783,999.50
  4. Step 4: Simplify right side
    24,424,153x = 1,427,630,618,216,000.25
  5. Step 5: Solve for x
    x = 1,427,630,618,216,000.25/24,424,153
  6. Step 6: Final answer
    x = 58,451,591.68

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Why These Related Problems?

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