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Finding the Third Proportional to 31,211,140.50 and 67,024,170

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Solution

The third proportional to 31,211,140.50 and 67,024,170 is: 143,930,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211,140.50 : 67,024,170 = 67,024,170 : x
  2. Step 2: Convert to fraction form
    31,211,140.50/67,024,170 = 67,024,170/x
  3. Step 3: Cross multiply
    31,211,140.50x = 67,024,170 × 67,024,170
  4. Step 4: Simplify right side
    31,211,140.50x = 4,492,239,364,188,900
  5. Step 5: Solve for x
    x = 4,492,239,364,188,900/31,211,140.50
  6. Step 6: Final answer
    x = 143,930,637.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.