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Finding the Third Proportional to 6,099,918 and 13,204,038

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Solution

The third proportional to 6,099,918 and 13,204,038 is: 28,581,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099,918 : 13,204,038 = 13,204,038 : x
  2. Step 2: Convert to fraction form
    6,099,918/13,204,038 = 13,204,038/x
  3. Step 3: Cross multiply
    6,099,918x = 13,204,038 × 13,204,038
  4. Step 4: Simplify right side
    6,099,918x = 174,346,619,505,444
  5. Step 5: Solve for x
    x = 174,346,619,505,444/6,099,918
  6. Step 6: Final answer
    x = 28,581,797.25

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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.