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Finding the Third Proportional to 339,623,099 and 727,681,174

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Solution

The third proportional to 339,623,099 and 727,681,174 is: 1,559,139,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,623,099 : 727,681,174 = 727,681,174 : x
  2. Step 2: Convert to fraction form
    339,623,099/727,681,174 = 727,681,174/x
  3. Step 3: Cross multiply
    339,623,099x = 727,681,174 × 727,681,174
  4. Step 4: Simplify right side
    339,623,099x = 529,519,890,994,018,304
  5. Step 5: Solve for x
    x = 529,519,890,994,018,304/339,623,099
  6. Step 6: Final answer
    x = 1,559,139,801.01

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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.