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Finding the Third Proportional to 6,099,984 and 13,204,172

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Solution

The third proportional to 6,099,984 and 13,204,172 is: 28,582,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099,984 : 13,204,172 = 13,204,172 : x
  2. Step 2: Convert to fraction form
    6,099,984/13,204,172 = 13,204,172/x
  3. Step 3: Cross multiply
    6,099,984x = 13,204,172 × 13,204,172
  4. Step 4: Simplify right side
    6,099,984x = 174,350,158,205,584
  5. Step 5: Solve for x
    x = 174,350,158,205,584/6,099,984
  6. Step 6: Final answer
    x = 28,582,068.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.