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Finding the Third Proportional to 5,199,820.31 and 11,594,593.13

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Solution

The third proportional to 5,199,820.31 and 11,594,593.13 is: 25,853,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199,820.31 : 11,594,593.13 = 11,594,593.13 : x
  2. Step 2: Convert to fraction form
    5,199,820.31/11,594,593.13 = 11,594,593.13/x
  3. Step 3: Cross multiply
    5,199,820.31x = 11,594,593.13 × 11,594,593.13
  4. Step 4: Simplify right side
    5,199,820.31x = 134,434,589,734,297.27
  5. Step 5: Solve for x
    x = 134,434,589,734,297.27/5,199,820.31
  6. Step 6: Final answer
    x = 25,853,699.10

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.