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Finding the Third Proportional to 6,065,289 and 13,343,634

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Solution

The third proportional to 6,065,289 and 13,343,634 is: 29,355,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065,289 : 13,343,634 = 13,343,634 : x
  2. Step 2: Convert to fraction form
    6,065,289/13,343,634 = 13,343,634/x
  3. Step 3: Cross multiply
    6,065,289x = 13,343,634 × 13,343,634
  4. Step 4: Simplify right side
    6,065,289x = 178,052,568,325,956
  5. Step 5: Solve for x
    x = 178,052,568,325,956/6,065,289
  6. Step 6: Final answer
    x = 29,355,990.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.