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Finding the Third Proportional to 899,150,052,137.50 and 1,941,609,028,624.80

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Solution

The third proportional to 899,150,052,137.50 and 1,941,609,028,624.80 is: 4,192,676,863,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,150,052,137.50 : 1,941,609,028,624.80 = 1,941,609,028,624.80 : x
  2. Step 2: Convert to fraction form
    899,150,052,137.50/1,941,609,028,624.80 = 1,941,609,028,624.80/x
  3. Step 3: Cross multiply
    899,150,052,137.50x = 1,941,609,028,624.80 × 1,941,609,028,624.80
  4. Step 4: Simplify right side
    899,150,052,137.50x = 3,769,845,620,037,339,515,453,440
  5. Step 5: Solve for x
    x = 3,769,845,620,037,339,515,453,440/899,150,052,137.50
  6. Step 6: Final answer
    x = 4,192,676,863,083.63

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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.