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Finding the Third Proportional to 22,837,284 and 31,105,782

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Solution

The third proportional to 22,837,284 and 31,105,782 is: 42,367,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,837,284 : 31,105,782 = 31,105,782 : x
  2. Step 2: Convert to fraction form
    22,837,284/31,105,782 = 31,105,782/x
  3. Step 3: Cross multiply
    22,837,284x = 31,105,782 × 31,105,782
  4. Step 4: Simplify right side
    22,837,284x = 967,569,673,831,524
  5. Step 5: Solve for x
    x = 967,569,673,831,524/22,837,284
  6. Step 6: Final answer
    x = 42,367,983.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.