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Finding the Third Proportional to 4,227,594,520 and 8,840,660,912

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Solution

The third proportional to 4,227,594,520 and 8,840,660,912 is: 18,487,412,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227,594,520 : 8,840,660,912 = 8,840,660,912 : x
  2. Step 2: Convert to fraction form
    4,227,594,520/8,840,660,912 = 8,840,660,912/x
  3. Step 3: Cross multiply
    4,227,594,520x = 8,840,660,912 × 8,840,660,912
  4. Step 4: Simplify right side
    4,227,594,520x = 78,157,285,360,964,665,344
  5. Step 5: Solve for x
    x = 78,157,285,360,964,665,344/4,227,594,520
  6. Step 6: Final answer
    x = 18,487,412,875.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.