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Finding the Third Proportional to 10,203,545 and 22,397,503

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Solution

The third proportional to 10,203,545 and 22,397,503 is: 49,164,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,545 : 22,397,503 = 22,397,503 : x
  2. Step 2: Convert to fraction form
    10,203,545/22,397,503 = 22,397,503/x
  3. Step 3: Cross multiply
    10,203,545x = 22,397,503 × 22,397,503
  4. Step 4: Simplify right side
    10,203,545x = 501,648,140,635,009
  5. Step 5: Solve for x
    x = 501,648,140,635,009/10,203,545
  6. Step 6: Final answer
    x = 49,164,103.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.