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Finding the Third Proportional to 11,584,971 and 24,964,065

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Solution

The third proportional to 11,584,971 and 24,964,065 is: 53,794,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584,971 : 24,964,065 = 24,964,065 : x
  2. Step 2: Convert to fraction form
    11,584,971/24,964,065 = 24,964,065/x
  3. Step 3: Cross multiply
    11,584,971x = 24,964,065 × 24,964,065
  4. Step 4: Simplify right side
    11,584,971x = 623,204,541,324,225
  5. Step 5: Solve for x
    x = 623,204,541,324,225/11,584,971
  6. Step 6: Final answer
    x = 53,794,225.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.