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Finding the Third Proportional to 6,508,811 and 13,997,141

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Solution

The third proportional to 6,508,811 and 13,997,141 is: 30,100,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,811 : 13,997,141 = 13,997,141 : x
  2. Step 2: Convert to fraction form
    6,508,811/13,997,141 = 13,997,141/x
  3. Step 3: Cross multiply
    6,508,811x = 13,997,141 × 13,997,141
  4. Step 4: Simplify right side
    6,508,811x = 195,919,956,173,881
  5. Step 5: Solve for x
    x = 195,919,956,173,881/6,508,811
  6. Step 6: Final answer
    x = 30,100,729.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.