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Finding the Third Proportional to 5,261,030,211 and 11,448,213,652

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Solution

The third proportional to 5,261,030,211 and 11,448,213,652 is: 24,911,774,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261,030,211 : 11,448,213,652 = 11,448,213,652 : x
  2. Step 2: Convert to fraction form
    5,261,030,211/11,448,213,652 = 11,448,213,652/x
  3. Step 3: Cross multiply
    5,261,030,211x = 11,448,213,652 × 11,448,213,652
  4. Step 4: Simplify right side
    5,261,030,211x = 131,061,595,821,839,171,584
  5. Step 5: Solve for x
    x = 131,061,595,821,839,171,584/5,261,030,211
  6. Step 6: Final answer
    x = 24,911,774,037.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.