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Finding the Third Proportional to 6,099,372.75 and 12,827,757

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Solution

The third proportional to 6,099,372.75 and 12,827,757 is: 26,978,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099,372.75 : 12,827,757 = 12,827,757 : x
  2. Step 2: Convert to fraction form
    6,099,372.75/12,827,757 = 12,827,757/x
  3. Step 3: Cross multiply
    6,099,372.75x = 12,827,757 × 12,827,757
  4. Step 4: Simplify right side
    6,099,372.75x = 164,551,349,651,049
  5. Step 5: Solve for x
    x = 164,551,349,651,049/6,099,372.75
  6. Step 6: Final answer
    x = 26,978,405.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.