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Finding the Third Proportional to 1,848,562,467 and 2,863,379,074.50

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Solution

The third proportional to 1,848,562,467 and 2,863,379,074.50 is: 4,435,305,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848,562,467 : 2,863,379,074.50 = 2,863,379,074.50 : x
  2. Step 2: Convert to fraction form
    1,848,562,467/2,863,379,074.50 = 2,863,379,074.50/x
  3. Step 3: Cross multiply
    1,848,562,467x = 2,863,379,074.50 × 2,863,379,074.50
  4. Step 4: Simplify right side
    1,848,562,467x = 8,198,939,724,284,476,416
  5. Step 5: Solve for x
    x = 8,198,939,724,284,476,416/1,848,562,467
  6. Step 6: Final answer
    x = 4,435,305,741.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.