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Finding the Third Proportional to 3,148,620,923 and 7,289,250,435

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Solution

The third proportional to 3,148,620,923 and 7,289,250,435 is: 16,875,061,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,620,923 : 7,289,250,435 = 7,289,250,435 : x
  2. Step 2: Convert to fraction form
    3,148,620,923/7,289,250,435 = 7,289,250,435/x
  3. Step 3: Cross multiply
    3,148,620,923x = 7,289,250,435 × 7,289,250,435
  4. Step 4: Simplify right side
    3,148,620,923x = 53,133,171,904,147,685,376
  5. Step 5: Solve for x
    x = 53,133,171,904,147,685,376/3,148,620,923
  6. Step 6: Final answer
    x = 16,875,061,559.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.