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Finding the Third Proportional to 8,195,814 and 12,027,987

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Solution

The third proportional to 8,195,814 and 12,027,987 is: 17,651,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,814 : 12,027,987 = 12,027,987 : x
  2. Step 2: Convert to fraction form
    8,195,814/12,027,987 = 12,027,987/x
  3. Step 3: Cross multiply
    8,195,814x = 12,027,987 × 12,027,987
  4. Step 4: Simplify right side
    8,195,814x = 144,672,471,272,169
  5. Step 5: Solve for x
    x = 144,672,471,272,169/8,195,814
  6. Step 6: Final answer
    x = 17,651,995.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.