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Finding the Third Proportional to 376,407,138 and 815,347,166

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Solution

The third proportional to 376,407,138 and 815,347,166 is: 1,766,148,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,407,138 : 815,347,166 = 815,347,166 : x
  2. Step 2: Convert to fraction form
    376,407,138/815,347,166 = 815,347,166/x
  3. Step 3: Cross multiply
    376,407,138x = 815,347,166 × 815,347,166
  4. Step 4: Simplify right side
    376,407,138x = 664,791,001,104,231,552
  5. Step 5: Solve for x
    x = 664,791,001,104,231,552/376,407,138
  6. Step 6: Final answer
    x = 1,766,148,762.84

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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.