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Finding the Third Proportional to 313,863,162 and 430,848,440

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Solution

The third proportional to 313,863,162 and 430,848,440 is: 591,437,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,863,162 : 430,848,440 = 430,848,440 : x
  2. Step 2: Convert to fraction form
    313,863,162/430,848,440 = 430,848,440/x
  3. Step 3: Cross multiply
    313,863,162x = 430,848,440 × 430,848,440
  4. Step 4: Simplify right side
    313,863,162x = 185,630,378,250,433,600
  5. Step 5: Solve for x
    x = 185,630,378,250,433,600/313,863,162
  6. Step 6: Final answer
    x = 591,437,290.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.