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Finding the Third Proportional to 12,883,080.75 and 27,257,142

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Solution

The third proportional to 12,883,080.75 and 27,257,142 is: 57,668,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883,080.75 : 27,257,142 = 27,257,142 : x
  2. Step 2: Convert to fraction form
    12,883,080.75/27,257,142 = 27,257,142/x
  3. Step 3: Cross multiply
    12,883,080.75x = 27,257,142 × 27,257,142
  4. Step 4: Simplify right side
    12,883,080.75x = 742,951,790,008,164
  5. Step 5: Solve for x
    x = 742,951,790,008,164/12,883,080.75
  6. Step 6: Final answer
    x = 57,668,798.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.