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Finding the Third Proportional to 1,967,089,944.38 and 3,211,740,801

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Solution

The third proportional to 1,967,089,944.38 and 3,211,740,801 is: 5,243,928,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967,089,944.38 : 3,211,740,801 = 3,211,740,801 : x
  2. Step 2: Convert to fraction form
    1,967,089,944.38/3,211,740,801 = 3,211,740,801/x
  3. Step 3: Cross multiply
    1,967,089,944.38x = 3,211,740,801 × 3,211,740,801
  4. Step 4: Simplify right side
    1,967,089,944.38x = 10,315,278,972,808,122,368
  5. Step 5: Solve for x
    x = 10,315,278,972,808,122,368/1,967,089,944.38
  6. Step 6: Final answer
    x = 5,243,928,475.31

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.