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Finding the Third Proportional to 22,813,494 and 47,514,126

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Solution

The third proportional to 22,813,494 and 47,514,126 is: 98,958,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813,494 : 47,514,126 = 47,514,126 : x
  2. Step 2: Convert to fraction form
    22,813,494/47,514,126 = 47,514,126/x
  3. Step 3: Cross multiply
    22,813,494x = 47,514,126 × 47,514,126
  4. Step 4: Simplify right side
    22,813,494x = 2,257,592,169,543,876
  5. Step 5: Solve for x
    x = 2,257,592,169,543,876/22,813,494
  6. Step 6: Final answer
    x = 98,958,632.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.