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Finding the Third Proportional to 2,014,600,449 and 4,335,310,917

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Solution

The third proportional to 2,014,600,449 and 4,335,310,917 is: 9,329,353,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,600,449 : 4,335,310,917 = 4,335,310,917 : x
  2. Step 2: Convert to fraction form
    2,014,600,449/4,335,310,917 = 4,335,310,917/x
  3. Step 3: Cross multiply
    2,014,600,449x = 4,335,310,917 × 4,335,310,917
  4. Step 4: Simplify right side
    2,014,600,449x = 18,794,920,747,059,380,224
  5. Step 5: Solve for x
    x = 18,794,920,747,059,380,224/2,014,600,449
  6. Step 6: Final answer
    x = 9,329,353,994.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.