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Finding the Third Proportional to 22,432,817 and 48,802,234

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Solution

The third proportional to 22,432,817 and 48,802,234 is: 106,168,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432,817 : 48,802,234 = 48,802,234 : x
  2. Step 2: Convert to fraction form
    22,432,817/48,802,234 = 48,802,234/x
  3. Step 3: Cross multiply
    22,432,817x = 48,802,234 × 48,802,234
  4. Step 4: Simplify right side
    22,432,817x = 2,381,658,043,390,756
  5. Step 5: Solve for x
    x = 2,381,658,043,390,756/22,432,817
  6. Step 6: Final answer
    x = 106,168,478.23

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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.