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Finding the Third Proportional to 21,414,915 and 32,624,269.50

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Solution

The third proportional to 21,414,915 and 32,624,269.50 is: 49,701,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414,915 : 32,624,269.50 = 32,624,269.50 : x
  2. Step 2: Convert to fraction form
    21,414,915/32,624,269.50 = 32,624,269.50/x
  3. Step 3: Cross multiply
    21,414,915x = 32,624,269.50 × 32,624,269.50
  4. Step 4: Simplify right side
    21,414,915x = 1,064,342,960,408,630.25
  5. Step 5: Solve for x
    x = 1,064,342,960,408,630.25/21,414,915
  6. Step 6: Final answer
    x = 49,701,012.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.