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Finding the Third Proportional to 5,252,203 and 11,424,647

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Solution

The third proportional to 5,252,203 and 11,424,647 is: 24,851,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252,203 : 11,424,647 = 11,424,647 : x
  2. Step 2: Convert to fraction form
    5,252,203/11,424,647 = 11,424,647/x
  3. Step 3: Cross multiply
    5,252,203x = 11,424,647 × 11,424,647
  4. Step 4: Simplify right side
    5,252,203x = 130,522,559,074,609
  5. Step 5: Solve for x
    x = 130,522,559,074,609/5,252,203
  6. Step 6: Final answer
    x = 24,851,011.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.