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Finding the Third Proportional to 8,148,771 and 17,269,083

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Solution

The third proportional to 8,148,771 and 17,269,083 is: 36,597,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,771 : 17,269,083 = 17,269,083 : x
  2. Step 2: Convert to fraction form
    8,148,771/17,269,083 = 17,269,083/x
  3. Step 3: Cross multiply
    8,148,771x = 17,269,083 × 17,269,083
  4. Step 4: Simplify right side
    8,148,771x = 298,221,227,660,889
  5. Step 5: Solve for x
    x = 298,221,227,660,889/8,148,771
  6. Step 6: Final answer
    x = 36,597,080.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.