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Finding the Third Proportional to 49,396,078,698 and 66,646,907,529

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Solution

The third proportional to 49,396,078,698 and 66,646,907,529 is: 89,922,325,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396,078,698 : 66,646,907,529 = 66,646,907,529 : x
  2. Step 2: Convert to fraction form
    49,396,078,698/66,646,907,529 = 66,646,907,529/x
  3. Step 3: Cross multiply
    49,396,078,698x = 66,646,907,529 × 66,646,907,529
  4. Step 4: Simplify right side
    49,396,078,698x = 4,441,810,283,179,077,009,408
  5. Step 5: Solve for x
    x = 4,441,810,283,179,077,009,408/49,396,078,698
  6. Step 6: Final answer
    x = 89,922,325,825.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.