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Finding the Third Proportional to 5,823,767 and 12,394,399

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Solution

The third proportional to 5,823,767 and 12,394,399 is: 26,378,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823,767 : 12,394,399 = 12,394,399 : x
  2. Step 2: Convert to fraction form
    5,823,767/12,394,399 = 12,394,399/x
  3. Step 3: Cross multiply
    5,823,767x = 12,394,399 × 12,394,399
  4. Step 4: Simplify right side
    5,823,767x = 153,621,126,571,201
  5. Step 5: Solve for x
    x = 153,621,126,571,201/5,823,767
  6. Step 6: Final answer
    x = 26,378,309.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.