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Finding the Third Proportional to 1,823,647,407 and 4,300,667,172

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Solution

The third proportional to 1,823,647,407 and 4,300,667,172 is: 10,142,167,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,647,407 : 4,300,667,172 = 4,300,667,172 : x
  2. Step 2: Convert to fraction form
    1,823,647,407/4,300,667,172 = 4,300,667,172/x
  3. Step 3: Cross multiply
    1,823,647,407x = 4,300,667,172 × 4,300,667,172
  4. Step 4: Simplify right side
    1,823,647,407x = 18,495,738,124,318,478,336
  5. Step 5: Solve for x
    x = 18,495,738,124,318,478,336/1,823,647,407
  6. Step 6: Final answer
    x = 10,142,167,862.78

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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.