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Finding the Third Proportional to 22,181,586,309 and 49,322,658,762

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Solution

The third proportional to 22,181,586,309 and 49,322,658,762 is: 109,673,160,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181,586,309 : 49,322,658,762 = 49,322,658,762 : x
  2. Step 2: Convert to fraction form
    22,181,586,309/49,322,658,762 = 49,322,658,762/x
  3. Step 3: Cross multiply
    22,181,586,309x = 49,322,658,762 × 49,322,658,762
  4. Step 4: Simplify right side
    22,181,586,309x = 2,432,724,667,352,695,177,216
  5. Step 5: Solve for x
    x = 2,432,724,667,352,695,177,216/22,181,586,309
  6. Step 6: Final answer
    x = 109,673,160,136.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.