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Finding the Third Proportional to 5,589,300 and 11,975,397

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Solution

The third proportional to 5,589,300 and 11,975,397 is: 25,657,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589,300 : 11,975,397 = 11,975,397 : x
  2. Step 2: Convert to fraction form
    5,589,300/11,975,397 = 11,975,397/x
  3. Step 3: Cross multiply
    5,589,300x = 11,975,397 × 11,975,397
  4. Step 4: Simplify right side
    5,589,300x = 143,410,133,307,609
  5. Step 5: Solve for x
    x = 143,410,133,307,609/5,589,300
  6. Step 6: Final answer
    x = 25,657,977.44

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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.