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Finding the Third Proportional to 12,808,023.75 and 27,661,081.50

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Solution

The third proportional to 12,808,023.75 and 27,661,081.50 is: 59,738,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808,023.75 : 27,661,081.50 = 27,661,081.50 : x
  2. Step 2: Convert to fraction form
    12,808,023.75/27,661,081.50 = 27,661,081.50/x
  3. Step 3: Cross multiply
    12,808,023.75x = 27,661,081.50 × 27,661,081.50
  4. Step 4: Simplify right side
    12,808,023.75x = 765,135,429,749,642.25
  5. Step 5: Solve for x
    x = 765,135,429,749,642.25/12,808,023.75
  6. Step 6: Final answer
    x = 59,738,757.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.