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Finding the Third Proportional to 31,576,669 and 47,236,480

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Solution

The third proportional to 31,576,669 and 47,236,480 is: 70,662,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576,669 : 47,236,480 = 47,236,480 : x
  2. Step 2: Convert to fraction form
    31,576,669/47,236,480 = 47,236,480/x
  3. Step 3: Cross multiply
    31,576,669x = 47,236,480 × 47,236,480
  4. Step 4: Simplify right side
    31,576,669x = 2,231,285,042,790,400
  5. Step 5: Solve for x
    x = 2,231,285,042,790,400/31,576,669
  6. Step 6: Final answer
    x = 70,662,457.87

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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.