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Finding the Third Proportional to 11,337,968 and 24,189,600

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Solution

The third proportional to 11,337,968 and 24,189,600 is: 51,608,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337,968 : 24,189,600 = 24,189,600 : x
  2. Step 2: Convert to fraction form
    11,337,968/24,189,600 = 24,189,600/x
  3. Step 3: Cross multiply
    11,337,968x = 24,189,600 × 24,189,600
  4. Step 4: Simplify right side
    11,337,968x = 585,136,748,160,000
  5. Step 5: Solve for x
    x = 585,136,748,160,000/11,337,968
  6. Step 6: Final answer
    x = 51,608,608.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.