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Finding the Third Proportional to 23,476,905 and 32,440,635

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Solution

The third proportional to 23,476,905 and 32,440,635 is: 44,826,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476,905 : 32,440,635 = 32,440,635 : x
  2. Step 2: Convert to fraction form
    23,476,905/32,440,635 = 32,440,635/x
  3. Step 3: Cross multiply
    23,476,905x = 32,440,635 × 32,440,635
  4. Step 4: Simplify right side
    23,476,905x = 1,052,394,799,203,225
  5. Step 5: Solve for x
    x = 1,052,394,799,203,225/23,476,905
  6. Step 6: Final answer
    x = 44,826,811.68

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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.