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Finding the Third Proportional to 5,980,162 and 14,039,301

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Solution

The third proportional to 5,980,162 and 14,039,301 is: 32,959,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980,162 : 14,039,301 = 14,039,301 : x
  2. Step 2: Convert to fraction form
    5,980,162/14,039,301 = 14,039,301/x
  3. Step 3: Cross multiply
    5,980,162x = 14,039,301 × 14,039,301
  4. Step 4: Simplify right side
    5,980,162x = 197,101,972,568,601
  5. Step 5: Solve for x
    x = 197,101,972,568,601/5,980,162
  6. Step 6: Final answer
    x = 32,959,303.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.