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Finding the Third Proportional to 31,146,042 and 67,084,479

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Solution

The third proportional to 31,146,042 and 67,084,479 is: 144,491,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146,042 : 67,084,479 = 67,084,479 : x
  2. Step 2: Convert to fraction form
    31,146,042/67,084,479 = 67,084,479/x
  3. Step 3: Cross multiply
    31,146,042x = 67,084,479 × 67,084,479
  4. Step 4: Simplify right side
    31,146,042x = 4,500,327,322,701,441
  5. Step 5: Solve for x
    x = 4,500,327,322,701,441/31,146,042
  6. Step 6: Final answer
    x = 144,491,146.67

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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.