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Finding the Third Proportional to 6,099,489 and 13,143,721.50

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Solution

The third proportional to 6,099,489 and 13,143,721.50 is: 28,323,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099,489 : 13,143,721.50 = 13,143,721.50 : x
  2. Step 2: Convert to fraction form
    6,099,489/13,143,721.50 = 13,143,721.50/x
  3. Step 3: Cross multiply
    6,099,489x = 13,143,721.50 × 13,143,721.50
  4. Step 4: Simplify right side
    6,099,489x = 172,757,414,869,562.25
  5. Step 5: Solve for x
    x = 172,757,414,869,562.25/6,099,489
  6. Step 6: Final answer
    x = 28,323,260.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.