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Finding the Third Proportional to 221,608,565,829 and 449,383,648,860

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Solution

The third proportional to 221,608,565,829 and 449,383,648,860 is: 911,271,922,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,608,565,829 : 449,383,648,860 = 449,383,648,860 : x
  2. Step 2: Convert to fraction form
    221,608,565,829/449,383,648,860 = 449,383,648,860/x
  3. Step 3: Cross multiply
    221,608,565,829x = 449,383,648,860 × 449,383,648,860
  4. Step 4: Simplify right side
    221,608,565,829x = 201,945,663,862,727,768,014,848
  5. Step 5: Solve for x
    x = 201,945,663,862,727,768,014,848/221,608,565,829
  6. Step 6: Final answer
    x = 911,271,922,668.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.