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Finding the Third Proportional to 31,528,494 and 67,918,932

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Solution

The third proportional to 31,528,494 and 67,918,932 is: 146,311,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,528,494 : 67,918,932 = 67,918,932 : x
  2. Step 2: Convert to fraction form
    31,528,494/67,918,932 = 67,918,932/x
  3. Step 3: Cross multiply
    31,528,494x = 67,918,932 × 67,918,932
  4. Step 4: Simplify right side
    31,528,494x = 4,612,981,324,020,624
  5. Step 5: Solve for x
    x = 4,612,981,324,020,624/31,528,494
  6. Step 6: Final answer
    x = 146,311,502.35

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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.