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Finding the Third Proportional to 339,549,900 and 727,505,238

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Solution

The third proportional to 339,549,900 and 727,505,238 is: 1,558,721,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,549,900 : 727,505,238 = 727,505,238 : x
  2. Step 2: Convert to fraction form
    339,549,900/727,505,238 = 727,505,238/x
  3. Step 3: Cross multiply
    339,549,900x = 727,505,238 × 727,505,238
  4. Step 4: Simplify right side
    339,549,900x = 529,263,871,317,436,672
  5. Step 5: Solve for x
    x = 529,263,871,317,436,672/339,549,900
  6. Step 6: Final answer
    x = 1,558,721,917.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.