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Finding the Third Proportional to 4,203,974,212 and 5,913,410,214

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Solution

The third proportional to 4,203,974,212 and 5,913,410,214 is: 8,317,943,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203,974,212 : 5,913,410,214 = 5,913,410,214 : x
  2. Step 2: Convert to fraction form
    4,203,974,212/5,913,410,214 = 5,913,410,214/x
  3. Step 3: Cross multiply
    4,203,974,212x = 5,913,410,214 × 5,913,410,214
  4. Step 4: Simplify right side
    4,203,974,212x = 34,968,420,359,039,524,864
  5. Step 5: Solve for x
    x = 34,968,420,359,039,524,864/4,203,974,212
  6. Step 6: Final answer
    x = 8,317,943,592.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.