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Finding the Third Proportional to 3,834,294 and 8,401,899

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Solution

The third proportional to 3,834,294 and 8,401,899 is: 18,410,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,294 : 8,401,899 = 8,401,899 : x
  2. Step 2: Convert to fraction form
    3,834,294/8,401,899 = 8,401,899/x
  3. Step 3: Cross multiply
    3,834,294x = 8,401,899 × 8,401,899
  4. Step 4: Simplify right side
    3,834,294x = 70,591,906,806,201
  5. Step 5: Solve for x
    x = 70,591,906,806,201/3,834,294
  6. Step 6: Final answer
    x = 18,410,666.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.