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Finding the Third Proportional to 12,328,224 and 16,362,576

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Solution

The third proportional to 12,328,224 and 16,362,576 is: 21,717,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328,224 : 16,362,576 = 16,362,576 : x
  2. Step 2: Convert to fraction form
    12,328,224/16,362,576 = 16,362,576/x
  3. Step 3: Cross multiply
    12,328,224x = 16,362,576 × 16,362,576
  4. Step 4: Simplify right side
    12,328,224x = 267,733,893,355,776
  5. Step 5: Solve for x
    x = 267,733,893,355,776/12,328,224
  6. Step 6: Final answer
    x = 21,717,150.29

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.