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Finding the Third Proportional to 47,441,605.50 and 71,667,877.50

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Solution

The third proportional to 47,441,605.50 and 71,667,877.50 is: 108,265,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,441,605.50 : 71,667,877.50 = 71,667,877.50 : x
  2. Step 2: Convert to fraction form
    47,441,605.50/71,667,877.50 = 71,667,877.50/x
  3. Step 3: Cross multiply
    47,441,605.50x = 71,667,877.50 × 71,667,877.50
  4. Step 4: Simplify right side
    47,441,605.50x = 5,136,284,665,355,006
  5. Step 5: Solve for x
    x = 5,136,284,665,355,006/47,441,605.50
  6. Step 6: Final answer
    x = 108,265,405.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.