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Finding the Third Proportional to 1,848,562,465 and 2,863,379,073

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Solution

The third proportional to 1,848,562,465 and 2,863,379,073 is: 4,435,305,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848,562,465 : 2,863,379,073 = 2,863,379,073 : x
  2. Step 2: Convert to fraction form
    1,848,562,465/2,863,379,073 = 2,863,379,073/x
  3. Step 3: Cross multiply
    1,848,562,465x = 2,863,379,073 × 2,863,379,073
  4. Step 4: Simplify right side
    1,848,562,465x = 8,198,939,715,694,339,072
  5. Step 5: Solve for x
    x = 8,198,939,715,694,339,072/1,848,562,465
  6. Step 6: Final answer
    x = 4,435,305,742.13

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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.