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Finding the Third Proportional to 11,496,581 and 15,984,907

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Solution

The third proportional to 11,496,581 and 15,984,907 is: 22,225,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496,581 : 15,984,907 = 15,984,907 : x
  2. Step 2: Convert to fraction form
    11,496,581/15,984,907 = 15,984,907/x
  3. Step 3: Cross multiply
    11,496,581x = 15,984,907 × 15,984,907
  4. Step 4: Simplify right side
    11,496,581x = 255,517,251,798,649
  5. Step 5: Solve for x
    x = 255,517,251,798,649/11,496,581
  6. Step 6: Final answer
    x = 22,225,499.20

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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.