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Finding the Third Proportional to 12,078,630 and 18,293,856.75

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Solution

The third proportional to 12,078,630 and 18,293,856.75 is: 27,707,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078,630 : 18,293,856.75 = 18,293,856.75 : x
  2. Step 2: Convert to fraction form
    12,078,630/18,293,856.75 = 18,293,856.75/x
  3. Step 3: Cross multiply
    12,078,630x = 18,293,856.75 × 18,293,856.75
  4. Step 4: Simplify right side
    12,078,630x = 334,665,194,789,520.56
  5. Step 5: Solve for x
    x = 334,665,194,789,520.56/12,078,630
  6. Step 6: Final answer
    x = 27,707,214.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.