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Finding the Third Proportional to 375,036,978 and 807,676,512

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Solution

The third proportional to 375,036,978 and 807,676,512 is: 1,739,405,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,036,978 : 807,676,512 = 807,676,512 : x
  2. Step 2: Convert to fraction form
    375,036,978/807,676,512 = 807,676,512/x
  3. Step 3: Cross multiply
    375,036,978x = 807,676,512 × 807,676,512
  4. Step 4: Simplify right side
    375,036,978x = 652,341,348,036,486,144
  5. Step 5: Solve for x
    x = 652,341,348,036,486,144/375,036,978
  6. Step 6: Final answer
    x = 1,739,405,408.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.