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Finding the Third Proportional to 57,549,699 and 120,419,907

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Solution

The third proportional to 57,549,699 and 120,419,907 is: 251,972,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,549,699 : 120,419,907 = 120,419,907 : x
  2. Step 2: Convert to fraction form
    57,549,699/120,419,907 = 120,419,907/x
  3. Step 3: Cross multiply
    57,549,699x = 120,419,907 × 120,419,907
  4. Step 4: Simplify right side
    57,549,699x = 14,500,954,001,888,648
  5. Step 5: Solve for x
    x = 14,500,954,001,888,648/57,549,699
  6. Step 6: Final answer
    x = 251,972,716.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.