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Finding the Third Proportional to 1,823,647,423.50 and 4,300,667,214

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Solution

The third proportional to 1,823,647,423.50 and 4,300,667,214 is: 10,142,167,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,647,423.50 : 4,300,667,214 = 4,300,667,214 : x
  2. Step 2: Convert to fraction form
    1,823,647,423.50/4,300,667,214 = 4,300,667,214/x
  3. Step 3: Cross multiply
    1,823,647,423.50x = 4,300,667,214 × 4,300,667,214
  4. Step 4: Simplify right side
    1,823,647,423.50x = 18,495,738,485,574,520,832
  5. Step 5: Solve for x
    x = 18,495,738,485,574,520,832/1,823,647,423.50
  6. Step 6: Final answer
    x = 10,142,167,969.11

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.