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Finding the Third Proportional to 52,474,072.50 and 82,308,174.75

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Solution

The third proportional to 52,474,072.50 and 82,308,174.75 is: 129,104,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,474,072.50 : 82,308,174.75 = 82,308,174.75 : x
  2. Step 2: Convert to fraction form
    52,474,072.50/82,308,174.75 = 82,308,174.75/x
  3. Step 3: Cross multiply
    52,474,072.50x = 82,308,174.75 × 82,308,174.75
  4. Step 4: Simplify right side
    52,474,072.50x = 6,774,635,630,676,538
  5. Step 5: Solve for x
    x = 6,774,635,630,676,538/52,474,072.50
  6. Step 6: Final answer
    x = 129,104,437.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.