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Finding the Third Proportional to 31,527,612 and 67,917,168

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Solution

The third proportional to 31,527,612 and 67,917,168 is: 146,307,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527,612 : 67,917,168 = 67,917,168 : x
  2. Step 2: Convert to fraction form
    31,527,612/67,917,168 = 67,917,168/x
  3. Step 3: Cross multiply
    31,527,612x = 67,917,168 × 67,917,168
  4. Step 4: Simplify right side
    31,527,612x = 4,612,741,709,140,224
  5. Step 5: Solve for x
    x = 4,612,741,709,140,224/31,527,612
  6. Step 6: Final answer
    x = 146,307,995.33

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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.