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Finding the Third Proportional to 4,552,529,451.75 and 6,828,794,172

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Solution

The third proportional to 4,552,529,451.75 and 6,828,794,172 is: 10,243,191,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552,529,451.75 : 6,828,794,172 = 6,828,794,172 : x
  2. Step 2: Convert to fraction form
    4,552,529,451.75/6,828,794,172 = 6,828,794,172/x
  3. Step 3: Cross multiply
    4,552,529,451.75x = 6,828,794,172 × 6,828,794,172
  4. Step 4: Simplify right side
    4,552,529,451.75x = 46,632,429,843,541,164,032
  5. Step 5: Solve for x
    x = 46,632,429,843,541,164,032/4,552,529,451.75
  6. Step 6: Final answer
    x = 10,243,191,249.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.