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Finding the Third Proportional to 47,464,141.50 and 71,322,592.50

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Solution

The third proportional to 47,464,141.50 and 71,322,592.50 is: 107,173,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,464,141.50 : 71,322,592.50 = 71,322,592.50 : x
  2. Step 2: Convert to fraction form
    47,464,141.50/71,322,592.50 = 71,322,592.50/x
  3. Step 3: Cross multiply
    47,464,141.50x = 71,322,592.50 × 71,322,592.50
  4. Step 4: Simplify right side
    47,464,141.50x = 5,086,912,200,921,056
  5. Step 5: Solve for x
    x = 5,086,912,200,921,056/47,464,141.50
  6. Step 6: Final answer
    x = 107,173,795.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.