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Finding the Third Proportional to 8,274,750 and 17,544,720

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Solution

The third proportional to 8,274,750 and 17,544,720 is: 37,199,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274,750 : 17,544,720 = 17,544,720 : x
  2. Step 2: Convert to fraction form
    8,274,750/17,544,720 = 17,544,720/x
  3. Step 3: Cross multiply
    8,274,750x = 17,544,720 × 17,544,720
  4. Step 4: Simplify right side
    8,274,750x = 307,817,199,878,400
  5. Step 5: Solve for x
    x = 307,817,199,878,400/8,274,750
  6. Step 6: Final answer
    x = 37,199,577.01

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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.