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Finding the Third Proportional to 354,783,910 and 530,729,209

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Solution

The third proportional to 354,783,910 and 530,729,209 is: 793,929,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,783,910 : 530,729,209 = 530,729,209 : x
  2. Step 2: Convert to fraction form
    354,783,910/530,729,209 = 530,729,209/x
  3. Step 3: Cross multiply
    354,783,910x = 530,729,209 × 530,729,209
  4. Step 4: Simplify right side
    354,783,910x = 281,673,493,285,765,696
  5. Step 5: Solve for x
    x = 281,673,493,285,765,696/354,783,910
  6. Step 6: Final answer
    x = 793,929,728.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.