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Finding the Third Proportional to 659,290,104 and 1,372,837,014

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Solution

The third proportional to 659,290,104 and 1,372,837,014 is: 2,858,652,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,290,104 : 1,372,837,014 = 1,372,837,014 : x
  2. Step 2: Convert to fraction form
    659,290,104/1,372,837,014 = 1,372,837,014/x
  3. Step 3: Cross multiply
    659,290,104x = 1,372,837,014 × 1,372,837,014
  4. Step 4: Simplify right side
    659,290,104x = 1,884,681,467,008,436,224
  5. Step 5: Solve for x
    x = 1,884,681,467,008,436,224/659,290,104
  6. Step 6: Final answer
    x = 2,858,652,747.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.