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Finding the Third Proportional to 31,945,116 and 47,902,050

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Solution

The third proportional to 31,945,116 and 47,902,050 is: 71,829,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,945,116 : 47,902,050 = 47,902,050 : x
  2. Step 2: Convert to fraction form
    31,945,116/47,902,050 = 47,902,050/x
  3. Step 3: Cross multiply
    31,945,116x = 47,902,050 × 47,902,050
  4. Step 4: Simplify right side
    31,945,116x = 2,294,606,394,202,500
  5. Step 5: Solve for x
    x = 2,294,606,394,202,500/31,945,116
  6. Step 6: Final answer
    x = 71,829,646.64

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Why These Related Problems?

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