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Finding the Third Proportional to 309,050,971 and 671,777,401

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Solution

The third proportional to 309,050,971 and 671,777,401 is: 1,460,227,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,050,971 : 671,777,401 = 671,777,401 : x
  2. Step 2: Convert to fraction form
    309,050,971/671,777,401 = 671,777,401/x
  3. Step 3: Cross multiply
    309,050,971x = 671,777,401 × 671,777,401
  4. Step 4: Simplify right side
    309,050,971x = 451,284,876,494,314,816
  5. Step 5: Solve for x
    x = 451,284,876,494,314,816/309,050,971
  6. Step 6: Final answer
    x = 1,460,227,984.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.