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Finding the Third Proportional to 345,379,579 and 751,273,311

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Solution

The third proportional to 345,379,579 and 751,273,311 is: 1,634,177,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,379,579 : 751,273,311 = 751,273,311 : x
  2. Step 2: Convert to fraction form
    345,379,579/751,273,311 = 751,273,311/x
  3. Step 3: Cross multiply
    345,379,579x = 751,273,311 × 751,273,311
  4. Step 4: Simplify right side
    345,379,579x = 564,411,587,820,902,720
  5. Step 5: Solve for x
    x = 564,411,587,820,902,720/345,379,579
  6. Step 6: Final answer
    x = 1,634,177,647.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.