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Finding the Third Proportional to 7,923,780 and 11,904,600

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Solution

The third proportional to 7,923,780 and 11,904,600 is: 17,885,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923,780 : 11,904,600 = 11,904,600 : x
  2. Step 2: Convert to fraction form
    7,923,780/11,904,600 = 11,904,600/x
  3. Step 3: Cross multiply
    7,923,780x = 11,904,600 × 11,904,600
  4. Step 4: Simplify right side
    7,923,780x = 141,719,501,160,000
  5. Step 5: Solve for x
    x = 141,719,501,160,000/7,923,780
  6. Step 6: Final answer
    x = 17,885,340.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.