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Finding the Third Proportional to 10,208,203 and 22,270,933

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Solution

The third proportional to 10,208,203 and 22,270,933 is: 48,587,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208,203 : 22,270,933 = 22,270,933 : x
  2. Step 2: Convert to fraction form
    10,208,203/22,270,933 = 22,270,933/x
  3. Step 3: Cross multiply
    10,208,203x = 22,270,933 × 22,270,933
  4. Step 4: Simplify right side
    10,208,203x = 495,994,456,690,489
  5. Step 5: Solve for x
    x = 495,994,456,690,489/10,208,203
  6. Step 6: Final answer
    x = 48,587,832.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.