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Finding the Third Proportional to 381,993,628 and 818,443,381

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Solution

The third proportional to 381,993,628 and 818,443,381 is: 1,753,562,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,993,628 : 818,443,381 = 818,443,381 : x
  2. Step 2: Convert to fraction form
    381,993,628/818,443,381 = 818,443,381/x
  3. Step 3: Cross multiply
    381,993,628x = 818,443,381 × 818,443,381
  4. Step 4: Simplify right side
    381,993,628x = 669,849,567,902,711,168
  5. Step 5: Solve for x
    x = 669,849,567,902,711,168/381,993,628
  6. Step 6: Final answer
    x = 1,753,562,150.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.