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Finding the Third Proportional to 22,198,178 and 48,419,692

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Solution

The third proportional to 22,198,178 and 48,419,692 is: 105,615,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198,178 : 48,419,692 = 48,419,692 : x
  2. Step 2: Convert to fraction form
    22,198,178/48,419,692 = 48,419,692/x
  3. Step 3: Cross multiply
    22,198,178x = 48,419,692 × 48,419,692
  4. Step 4: Simplify right side
    22,198,178x = 2,344,466,573,374,864
  5. Step 5: Solve for x
    x = 2,344,466,573,374,864/22,198,178
  6. Step 6: Final answer
    x = 105,615,270.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.