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Finding the Third Proportional to 1,984,583,238 and 2,957,524,281

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Solution

The third proportional to 1,984,583,238 and 2,957,524,281 is: 4,407,449,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,583,238 : 2,957,524,281 = 2,957,524,281 : x
  2. Step 2: Convert to fraction form
    1,984,583,238/2,957,524,281 = 2,957,524,281/x
  3. Step 3: Cross multiply
    1,984,583,238x = 2,957,524,281 × 2,957,524,281
  4. Step 4: Simplify right side
    1,984,583,238x = 8,746,949,872,704,567,296
  5. Step 5: Solve for x
    x = 8,746,949,872,704,567,296/1,984,583,238
  6. Step 6: Final answer
    x = 4,407,449,234.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.