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Finding the Third Proportional to 6,099,970 and 13,204,142

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Solution

The third proportional to 6,099,970 and 13,204,142 is: 28,582,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099,970 : 13,204,142 = 13,204,142 : x
  2. Step 2: Convert to fraction form
    6,099,970/13,204,142 = 13,204,142/x
  3. Step 3: Cross multiply
    6,099,970x = 13,204,142 × 13,204,142
  4. Step 4: Simplify right side
    6,099,970x = 174,349,365,956,164
  5. Step 5: Solve for x
    x = 174,349,365,956,164/6,099,970
  6. Step 6: Final answer
    x = 28,582,003.84

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