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Finding the Third Proportional to 5,522,021 and 12,897,166.50

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Solution

The third proportional to 5,522,021 and 12,897,166.50 is: 30,122,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522,021 : 12,897,166.50 = 12,897,166.50 : x
  2. Step 2: Convert to fraction form
    5,522,021/12,897,166.50 = 12,897,166.50/x
  3. Step 3: Cross multiply
    5,522,021x = 12,897,166.50 × 12,897,166.50
  4. Step 4: Simplify right side
    5,522,021x = 166,336,903,728,722.25
  5. Step 5: Solve for x
    x = 166,336,903,728,722.25/5,522,021
  6. Step 6: Final answer
    x = 30,122,468.52

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.