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Finding the Third Proportional to 10,139,204 and 22,545,322

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Solution

The third proportional to 10,139,204 and 22,545,322 is: 50,131,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139,204 : 22,545,322 = 22,545,322 : x
  2. Step 2: Convert to fraction form
    10,139,204/22,545,322 = 22,545,322/x
  3. Step 3: Cross multiply
    10,139,204x = 22,545,322 × 22,545,322
  4. Step 4: Simplify right side
    10,139,204x = 508,291,544,083,684
  5. Step 5: Solve for x
    x = 508,291,544,083,684/10,139,204
  6. Step 6: Final answer
    x = 50,131,306.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.