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Finding the Third Proportional to 6,099,968 and 13,204,138

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Solution

The third proportional to 6,099,968 and 13,204,138 is: 28,581,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099,968 : 13,204,138 = 13,204,138 : x
  2. Step 2: Convert to fraction form
    6,099,968/13,204,138 = 13,204,138/x
  3. Step 3: Cross multiply
    6,099,968x = 13,204,138 × 13,204,138
  4. Step 4: Simplify right side
    6,099,968x = 174,349,260,323,044
  5. Step 5: Solve for x
    x = 174,349,260,323,044/6,099,968
  6. Step 6: Final answer
    x = 28,581,995.89

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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.