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Finding the Third Proportional to 22,141,848 and 47,922,852

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Solution

The third proportional to 22,141,848 and 47,922,852 is: 103,722,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141,848 : 47,922,852 = 47,922,852 : x
  2. Step 2: Convert to fraction form
    22,141,848/47,922,852 = 47,922,852/x
  3. Step 3: Cross multiply
    22,141,848x = 47,922,852 × 47,922,852
  4. Step 4: Simplify right side
    22,141,848x = 2,296,599,743,813,904
  5. Step 5: Solve for x
    x = 2,296,599,743,813,904/22,141,848
  6. Step 6: Final answer
    x = 103,722,134.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.