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Finding the Third Proportional to 463,040,556 and 964,187,400

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Solution

The third proportional to 463,040,556 and 964,187,400 is: 2,007,723,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,040,556 : 964,187,400 = 964,187,400 : x
  2. Step 2: Convert to fraction form
    463,040,556/964,187,400 = 964,187,400/x
  3. Step 3: Cross multiply
    463,040,556x = 964,187,400 × 964,187,400
  4. Step 4: Simplify right side
    463,040,556x = 929,657,342,318,759,936
  5. Step 5: Solve for x
    x = 929,657,342,318,759,936/463,040,556
  6. Step 6: Final answer
    x = 2,007,723,363.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.