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Finding the Third Proportional to 11,321,912 and 23,693,584

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Solution

The third proportional to 11,321,912 and 23,693,584 is: 49,584,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321,912 : 23,693,584 = 23,693,584 : x
  2. Step 2: Convert to fraction form
    11,321,912/23,693,584 = 23,693,584/x
  3. Step 3: Cross multiply
    11,321,912x = 23,693,584 × 23,693,584
  4. Step 4: Simplify right side
    11,321,912x = 561,385,922,765,056
  5. Step 5: Solve for x
    x = 561,385,922,765,056/11,321,912
  6. Step 6: Final answer
    x = 49,584,021.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.