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Finding the Third Proportional to 31,928,037 and 49,328,275.50

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Solution

The third proportional to 31,928,037 and 49,328,275.50 is: 76,211,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,928,037 : 49,328,275.50 = 49,328,275.50 : x
  2. Step 2: Convert to fraction form
    31,928,037/49,328,275.50 = 49,328,275.50/x
  3. Step 3: Cross multiply
    31,928,037x = 49,328,275.50 × 49,328,275.50
  4. Step 4: Simplify right side
    31,928,037x = 2,433,278,763,803,900
  5. Step 5: Solve for x
    x = 2,433,278,763,803,900/31,928,037
  6. Step 6: Final answer
    x = 76,211,348.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.