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Finding the Third Proportional to 8,692,285 and 18,897,923

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Solution

The third proportional to 8,692,285 and 18,897,923 is: 41,086,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692,285 : 18,897,923 = 18,897,923 : x
  2. Step 2: Convert to fraction form
    8,692,285/18,897,923 = 18,897,923/x
  3. Step 3: Cross multiply
    8,692,285x = 18,897,923 × 18,897,923
  4. Step 4: Simplify right side
    8,692,285x = 357,131,493,713,929
  5. Step 5: Solve for x
    x = 357,131,493,713,929/8,692,285
  6. Step 6: Final answer
    x = 41,086,031.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.