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Finding the Third Proportional to 852,647,376 and 1,866,019,212

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Solution

The third proportional to 852,647,376 and 1,866,019,212 is: 4,083,783,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,647,376 : 1,866,019,212 = 1,866,019,212 : x
  2. Step 2: Convert to fraction form
    852,647,376/1,866,019,212 = 1,866,019,212/x
  3. Step 3: Cross multiply
    852,647,376x = 1,866,019,212 × 1,866,019,212
  4. Step 4: Simplify right side
    852,647,376x = 3,482,027,699,553,100,800
  5. Step 5: Solve for x
    x = 3,482,027,699,553,100,800/852,647,376
  6. Step 6: Final answer
    x = 4,083,783,985.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.