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Finding the Third Proportional to 8,146,809 and 16,963,281

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Solution

The third proportional to 8,146,809 and 16,963,281 is: 35,320,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146,809 : 16,963,281 = 16,963,281 : x
  2. Step 2: Convert to fraction form
    8,146,809/16,963,281 = 16,963,281/x
  3. Step 3: Cross multiply
    8,146,809x = 16,963,281 × 16,963,281
  4. Step 4: Simplify right side
    8,146,809x = 287,752,902,284,961
  5. Step 5: Solve for x
    x = 287,752,902,284,961/8,146,809
  6. Step 6: Final answer
    x = 35,320,933.91

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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.