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Finding the Third Proportional to 7,794,961,828 and 18,188,872,832

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Solution

The third proportional to 7,794,961,828 and 18,188,872,832 is: 42,442,169,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794,961,828 : 18,188,872,832 = 18,188,872,832 : x
  2. Step 2: Convert to fraction form
    7,794,961,828/18,188,872,832 = 18,188,872,832/x
  3. Step 3: Cross multiply
    7,794,961,828x = 18,188,872,832 × 18,188,872,832
  4. Step 4: Simplify right side
    7,794,961,828x = 330,835,094,898,667,683,840
  5. Step 5: Solve for x
    x = 330,835,094,898,667,683,840/7,794,961,828
  6. Step 6: Final answer
    x = 42,442,169,980.91

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.