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Finding the Third Proportional to 5,589,299 and 11,975,395

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Solution

The third proportional to 5,589,299 and 11,975,395 is: 25,657,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589,299 : 11,975,395 = 11,975,395 : x
  2. Step 2: Convert to fraction form
    5,589,299/11,975,395 = 11,975,395/x
  3. Step 3: Cross multiply
    5,589,299x = 11,975,395 × 11,975,395
  4. Step 4: Simplify right side
    5,589,299x = 143,410,085,406,025
  5. Step 5: Solve for x
    x = 143,410,085,406,025/5,589,299
  6. Step 6: Final answer
    x = 25,657,973.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.