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Finding the Third Proportional to 11,384,912 and 24,587,632

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Solution

The third proportional to 11,384,912 and 24,587,632 is: 53,101,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384,912 : 24,587,632 = 24,587,632 : x
  2. Step 2: Convert to fraction form
    11,384,912/24,587,632 = 24,587,632/x
  3. Step 3: Cross multiply
    11,384,912x = 24,587,632 × 24,587,632
  4. Step 4: Simplify right side
    11,384,912x = 604,551,647,367,424
  5. Step 5: Solve for x
    x = 604,551,647,367,424/11,384,912
  6. Step 6: Final answer
    x = 53,101,126.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.