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Finding the Third Proportional to 12,537,989 and 17,324,652

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Solution

The third proportional to 12,537,989 and 17,324,652 is: 23,938,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537,989 : 17,324,652 = 17,324,652 : x
  2. Step 2: Convert to fraction form
    12,537,989/17,324,652 = 17,324,652/x
  3. Step 3: Cross multiply
    12,537,989x = 17,324,652 × 17,324,652
  4. Step 4: Simplify right side
    12,537,989x = 300,143,566,921,104
  5. Step 5: Solve for x
    x = 300,143,566,921,104/12,537,989
  6. Step 6: Final answer
    x = 23,938,732.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.