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Finding the Third Proportional to 8,291,947 and 17,942,102

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Solution

The third proportional to 8,291,947 and 17,942,102 is: 38,823,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291,947 : 17,942,102 = 17,942,102 : x
  2. Step 2: Convert to fraction form
    8,291,947/17,942,102 = 17,942,102/x
  3. Step 3: Cross multiply
    8,291,947x = 17,942,102 × 17,942,102
  4. Step 4: Simplify right side
    8,291,947x = 321,919,024,178,404
  5. Step 5: Solve for x
    x = 321,919,024,178,404/8,291,947
  6. Step 6: Final answer
    x = 38,823,092.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.