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Finding the Third Proportional to 31,318,086 and 47,913,165

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Solution

The third proportional to 31,318,086 and 47,913,165 is: 73,301,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,318,086 : 47,913,165 = 47,913,165 : x
  2. Step 2: Convert to fraction form
    31,318,086/47,913,165 = 47,913,165/x
  3. Step 3: Cross multiply
    31,318,086x = 47,913,165 × 47,913,165
  4. Step 4: Simplify right side
    31,318,086x = 2,295,671,380,317,225
  5. Step 5: Solve for x
    x = 2,295,671,380,317,225/31,318,086
  6. Step 6: Final answer
    x = 73,301,777.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.