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Finding the Third Proportional to 12,309,027 and 28,493,194.50

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Solution

The third proportional to 12,309,027 and 28,493,194.50 is: 65,956,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309,027 : 28,493,194.50 = 28,493,194.50 : x
  2. Step 2: Convert to fraction form
    12,309,027/28,493,194.50 = 28,493,194.50/x
  3. Step 3: Cross multiply
    12,309,027x = 28,493,194.50 × 28,493,194.50
  4. Step 4: Simplify right side
    12,309,027x = 811,862,132,814,830.25
  5. Step 5: Solve for x
    x = 811,862,132,814,830.25/12,309,027
  6. Step 6: Final answer
    x = 65,956,645.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.