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Finding the Third Proportional to 2,828,339,916 and 6,667,183,575

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Solution

The third proportional to 2,828,339,916 and 6,667,183,575 is: 15,716,405,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828,339,916 : 6,667,183,575 = 6,667,183,575 : x
  2. Step 2: Convert to fraction form
    2,828,339,916/6,667,183,575 = 6,667,183,575/x
  3. Step 3: Cross multiply
    2,828,339,916x = 6,667,183,575 × 6,667,183,575
  4. Step 4: Simplify right side
    2,828,339,916x = 44,451,336,822,749,782,016
  5. Step 5: Solve for x
    x = 44,451,336,822,749,782,016/2,828,339,916
  6. Step 6: Final answer
    x = 15,716,405,433.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.