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Finding the Third Proportional to 31,848,126.75 and 65,033,026.88

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Solution

The third proportional to 31,848,126.75 and 65,033,026.88 is: 132,795,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848,126.75 : 65,033,026.88 = 65,033,026.88 : x
  2. Step 2: Convert to fraction form
    31,848,126.75/65,033,026.88 = 65,033,026.88/x
  3. Step 3: Cross multiply
    31,848,126.75x = 65,033,026.88 × 65,033,026.88
  4. Step 4: Simplify right side
    31,848,126.75x = 4,229,294,584,524,472.50
  5. Step 5: Solve for x
    x = 4,229,294,584,524,472.50/31,848,126.75
  6. Step 6: Final answer
    x = 132,795,709.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.