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Finding the Third Proportional to 31,493,113 and 47,239,669

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Solution

The third proportional to 31,493,113 and 47,239,669 is: 70,859,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493,113 : 47,239,669 = 47,239,669 : x
  2. Step 2: Convert to fraction form
    31,493,113/47,239,669 = 47,239,669/x
  3. Step 3: Cross multiply
    31,493,113x = 47,239,669 × 47,239,669
  4. Step 4: Simplify right side
    31,493,113x = 2,231,586,327,229,561
  5. Step 5: Solve for x
    x = 2,231,586,327,229,561/31,493,113
  6. Step 6: Final answer
    x = 70,859,502.75

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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.