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Finding the Third Proportional to 1,823,647,413 and 4,300,667,187

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Solution

The third proportional to 1,823,647,413 and 4,300,667,187 is: 10,142,167,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,647,413 : 4,300,667,187 = 4,300,667,187 : x
  2. Step 2: Convert to fraction form
    1,823,647,413/4,300,667,187 = 4,300,667,187/x
  3. Step 3: Cross multiply
    1,823,647,413x = 4,300,667,187 × 4,300,667,187
  4. Step 4: Simplify right side
    1,823,647,413x = 18,495,738,253,338,492,928
  5. Step 5: Solve for x
    x = 18,495,738,253,338,492,928/1,823,647,413
  6. Step 6: Final answer
    x = 10,142,167,900.16

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Why These Related Problems?

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