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Finding the Third Proportional to 31,491,176 and 67,812,112

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Solution

The third proportional to 31,491,176 and 67,812,112 is: 146,024,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491,176 : 67,812,112 = 67,812,112 : x
  2. Step 2: Convert to fraction form
    31,491,176/67,812,112 = 67,812,112/x
  3. Step 3: Cross multiply
    31,491,176x = 67,812,112 × 67,812,112
  4. Step 4: Simplify right side
    31,491,176x = 4,598,482,533,900,544
  5. Step 5: Solve for x
    x = 4,598,482,533,900,544/31,491,176
  6. Step 6: Final answer
    x = 146,024,477.90

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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.