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Finding the Third Proportional to 8,148,786 and 17,269,114

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Solution

The third proportional to 8,148,786 and 17,269,114 is: 36,597,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,786 : 17,269,114 = 17,269,114 : x
  2. Step 2: Convert to fraction form
    8,148,786/17,269,114 = 17,269,114/x
  3. Step 3: Cross multiply
    8,148,786x = 17,269,114 × 17,269,114
  4. Step 4: Simplify right side
    8,148,786x = 298,222,298,344,996
  5. Step 5: Solve for x
    x = 298,222,298,344,996/8,148,786
  6. Step 6: Final answer
    x = 36,597,144.45

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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.