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Finding the Third Proportional to 3,826,177,015.50 and 8,239,169,871

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Solution

The third proportional to 3,826,177,015.50 and 8,239,169,871 is: 17,741,970,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,177,015.50 : 8,239,169,871 = 8,239,169,871 : x
  2. Step 2: Convert to fraction form
    3,826,177,015.50/8,239,169,871 = 8,239,169,871/x
  3. Step 3: Cross multiply
    3,826,177,015.50x = 8,239,169,871 × 8,239,169,871
  4. Step 4: Simplify right side
    3,826,177,015.50x = 67,883,920,163,194,159,104
  5. Step 5: Solve for x
    x = 67,883,920,163,194,159,104/3,826,177,015.50
  6. Step 6: Final answer
    x = 17,741,970,611.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.