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Finding the Third Proportional to 11,209,524 and 24,138,255

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Solution

The third proportional to 11,209,524 and 24,138,255 is: 51,978,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209,524 : 24,138,255 = 24,138,255 : x
  2. Step 2: Convert to fraction form
    11,209,524/24,138,255 = 24,138,255/x
  3. Step 3: Cross multiply
    11,209,524x = 24,138,255 × 24,138,255
  4. Step 4: Simplify right side
    11,209,524x = 582,655,354,445,025
  5. Step 5: Solve for x
    x = 582,655,354,445,025/11,209,524
  6. Step 6: Final answer
    x = 51,978,599.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.