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Finding the Third Proportional to 333,789,738 and 677,012,520

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Solution

The third proportional to 333,789,738 and 677,012,520 is: 1,373,157,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,789,738 : 677,012,520 = 677,012,520 : x
  2. Step 2: Convert to fraction form
    333,789,738/677,012,520 = 677,012,520/x
  3. Step 3: Cross multiply
    333,789,738x = 677,012,520 × 677,012,520
  4. Step 4: Simplify right side
    333,789,738x = 458,345,952,236,750,400
  5. Step 5: Solve for x
    x = 458,345,952,236,750,400/333,789,738
  6. Step 6: Final answer
    x = 1,373,157,709.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.