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Finding the Third Proportional to 8,971,857 and 19,737,351

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Solution

The third proportional to 8,971,857 and 19,737,351 is: 43,420,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971,857 : 19,737,351 = 19,737,351 : x
  2. Step 2: Convert to fraction form
    8,971,857/19,737,351 = 19,737,351/x
  3. Step 3: Cross multiply
    8,971,857x = 19,737,351 × 19,737,351
  4. Step 4: Simplify right side
    8,971,857x = 389,563,024,497,201
  5. Step 5: Solve for x
    x = 389,563,024,497,201/8,971,857
  6. Step 6: Final answer
    x = 43,420,556.58

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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.