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Finding the Third Proportional to 333,605,676 and 694,823,626.50

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Solution

The third proportional to 333,605,676 and 694,823,626.50 is: 1,447,157,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,605,676 : 694,823,626.50 = 694,823,626.50 : x
  2. Step 2: Convert to fraction form
    333,605,676/694,823,626.50 = 694,823,626.50/x
  3. Step 3: Cross multiply
    333,605,676x = 694,823,626.50 × 694,823,626.50
  4. Step 4: Simplify right side
    333,605,676x = 482,779,871,942,611,520
  5. Step 5: Solve for x
    x = 482,779,871,942,611,520/333,605,676
  6. Step 6: Final answer
    x = 1,447,157,247.84

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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.