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Finding the Third Proportional to 1,398,534,138 and 2,097,287,667

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Solution

The third proportional to 1,398,534,138 and 2,097,287,667 is: 3,145,161,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,534,138 : 2,097,287,667 = 2,097,287,667 : x
  2. Step 2: Convert to fraction form
    1,398,534,138/2,097,287,667 = 2,097,287,667/x
  3. Step 3: Cross multiply
    1,398,534,138x = 2,097,287,667 × 2,097,287,667
  4. Step 4: Simplify right side
    1,398,534,138x = 4,398,615,558,150,302,720
  5. Step 5: Solve for x
    x = 4,398,615,558,150,302,720/1,398,534,138
  6. Step 6: Final answer
    x = 3,145,161,379.07

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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.