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Finding the Third Proportional to 5,314,202.44 and 7,969,919.06

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Solution

The third proportional to 5,314,202.44 and 7,969,919.06 is: 11,952,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,202.44 : 7,969,919.06 = 7,969,919.06 : x
  2. Step 2: Convert to fraction form
    5,314,202.44/7,969,919.06 = 7,969,919.06/x
  3. Step 3: Cross multiply
    5,314,202.44x = 7,969,919.06 × 7,969,919.06
  4. Step 4: Simplify right side
    5,314,202.44x = 63,519,609,862,800.88
  5. Step 5: Solve for x
    x = 63,519,609,862,800.88/5,314,202.44
  6. Step 6: Final answer
    x = 11,952,802.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.