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Finding the Third Proportional to 11,496,576 and 15,984,900

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Solution

The third proportional to 11,496,576 and 15,984,900 is: 22,225,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496,576 : 15,984,900 = 15,984,900 : x
  2. Step 2: Convert to fraction form
    11,496,576/15,984,900 = 15,984,900/x
  3. Step 3: Cross multiply
    11,496,576x = 15,984,900 × 15,984,900
  4. Step 4: Simplify right side
    11,496,576x = 255,517,028,010,000
  5. Step 5: Solve for x
    x = 255,517,028,010,000/11,496,576
  6. Step 6: Final answer
    x = 22,225,489.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.