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Finding the Third Proportional to 8,114,544 and 17,134,506

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Solution

The third proportional to 8,114,544 and 17,134,506 is: 36,180,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114,544 : 17,134,506 = 17,134,506 : x
  2. Step 2: Convert to fraction form
    8,114,544/17,134,506 = 17,134,506/x
  3. Step 3: Cross multiply
    8,114,544x = 17,134,506 × 17,134,506
  4. Step 4: Simplify right side
    8,114,544x = 293,591,295,864,036
  5. Step 5: Solve for x
    x = 293,591,295,864,036/8,114,544
  6. Step 6: Final answer
    x = 36,180,874.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.