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Finding the Third Proportional to 11,188,806 and 24,457,611

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Solution

The third proportional to 11,188,806 and 24,457,611 is: 53,461,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188,806 : 24,457,611 = 24,457,611 : x
  2. Step 2: Convert to fraction form
    11,188,806/24,457,611 = 24,457,611/x
  3. Step 3: Cross multiply
    11,188,806x = 24,457,611 × 24,457,611
  4. Step 4: Simplify right side
    11,188,806x = 598,174,735,827,321
  5. Step 5: Solve for x
    x = 598,174,735,827,321/11,188,806
  6. Step 6: Final answer
    x = 53,461,891.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.