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Finding the Third Proportional to 3,850,528,344 and 8,439,228,240

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Solution

The third proportional to 3,850,528,344 and 8,439,228,240 is: 18,496,311,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850,528,344 : 8,439,228,240 = 8,439,228,240 : x
  2. Step 2: Convert to fraction form
    3,850,528,344/8,439,228,240 = 8,439,228,240/x
  3. Step 3: Cross multiply
    3,850,528,344x = 8,439,228,240 × 8,439,228,240
  4. Step 4: Simplify right side
    3,850,528,344x = 71,220,573,286,813,499,392
  5. Step 5: Solve for x
    x = 71,220,573,286,813,499,392/3,850,528,344
  6. Step 6: Final answer
    x = 18,496,311,914.65

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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.