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Finding the Third Proportional to 1,823,647,417 and 4,300,667,196

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Solution

The third proportional to 1,823,647,417 and 4,300,667,196 is: 10,142,167,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,647,417 : 4,300,667,196 = 4,300,667,196 : x
  2. Step 2: Convert to fraction form
    1,823,647,417/4,300,667,196 = 4,300,667,196/x
  3. Step 3: Cross multiply
    1,823,647,417x = 4,300,667,196 × 4,300,667,196
  4. Step 4: Simplify right side
    1,823,647,417x = 18,495,738,330,750,500,864
  5. Step 5: Solve for x
    x = 18,495,738,330,750,500,864/1,823,647,417
  6. Step 6: Final answer
    x = 10,142,167,920.36

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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.