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Finding the Third Proportional to 11,792,824 and 24,774,512

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Solution

The third proportional to 11,792,824 and 24,774,512 is: 52,046,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792,824 : 24,774,512 = 24,774,512 : x
  2. Step 2: Convert to fraction form
    11,792,824/24,774,512 = 24,774,512/x
  3. Step 3: Cross multiply
    11,792,824x = 24,774,512 × 24,774,512
  4. Step 4: Simplify right side
    11,792,824x = 613,776,444,838,144
  5. Step 5: Solve for x
    x = 613,776,444,838,144/11,792,824
  6. Step 6: Final answer
    x = 52,046,604.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.