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Finding the Third Proportional to 31,211,146 and 67,024,180

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Solution

The third proportional to 31,211,146 and 67,024,180 is: 143,930,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211,146 : 67,024,180 = 67,024,180 : x
  2. Step 2: Convert to fraction form
    31,211,146/67,024,180 = 67,024,180/x
  3. Step 3: Cross multiply
    31,211,146x = 67,024,180 × 67,024,180
  4. Step 4: Simplify right side
    31,211,146x = 4,492,240,704,672,400
  5. Step 5: Solve for x
    x = 4,492,240,704,672,400/31,211,146
  6. Step 6: Final answer
    x = 143,930,655.56

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