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Finding the Third Proportional to 8,848,679,112 and 18,959,500,296

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Solution

The third proportional to 8,848,679,112 and 18,959,500,296 is: 40,623,311,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,848,679,112 : 18,959,500,296 = 18,959,500,296 : x
  2. Step 2: Convert to fraction form
    8,848,679,112/18,959,500,296 = 18,959,500,296/x
  3. Step 3: Cross multiply
    8,848,679,112x = 18,959,500,296 × 18,959,500,296
  4. Step 4: Simplify right side
    8,848,679,112x = 359,462,651,474,024,071,168
  5. Step 5: Solve for x
    x = 359,462,651,474,024,071,168/8,848,679,112
  6. Step 6: Final answer
    x = 40,623,311,900.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.