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Finding the Third Proportional to 31,745,772 and 47,495,106

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Solution

The third proportional to 31,745,772 and 47,495,106 is: 71,057,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745,772 : 47,495,106 = 47,495,106 : x
  2. Step 2: Convert to fraction form
    31,745,772/47,495,106 = 47,495,106/x
  3. Step 3: Cross multiply
    31,745,772x = 47,495,106 × 47,495,106
  4. Step 4: Simplify right side
    31,745,772x = 2,255,785,093,951,236
  5. Step 5: Solve for x
    x = 2,255,785,093,951,236/31,745,772
  6. Step 6: Final answer
    x = 71,057,811.85

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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.