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Finding the Third Proportional to 12,761,037 and 19,614,615

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Solution

The third proportional to 12,761,037 and 19,614,615 is: 30,149,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761,037 : 19,614,615 = 19,614,615 : x
  2. Step 2: Convert to fraction form
    12,761,037/19,614,615 = 19,614,615/x
  3. Step 3: Cross multiply
    12,761,037x = 19,614,615 × 19,614,615
  4. Step 4: Simplify right side
    12,761,037x = 384,733,121,598,225
  5. Step 5: Solve for x
    x = 384,733,121,598,225/12,761,037
  6. Step 6: Final answer
    x = 30,149,048.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.