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Finding the Third Proportional to 339,623,097 and 727,681,170

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Solution

The third proportional to 339,623,097 and 727,681,170 is: 1,559,139,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,623,097 : 727,681,170 = 727,681,170 : x
  2. Step 2: Convert to fraction form
    339,623,097/727,681,170 = 727,681,170/x
  3. Step 3: Cross multiply
    339,623,097x = 727,681,170 × 727,681,170
  4. Step 4: Simplify right side
    339,623,097x = 529,519,885,172,568,896
  5. Step 5: Solve for x
    x = 529,519,885,172,568,896/339,623,097
  6. Step 6: Final answer
    x = 1,559,139,793.05

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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.