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Finding the Third Proportional to 13,376,096 and 20,495,932

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Solution

The third proportional to 13,376,096 and 20,495,932 is: 31,405,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376,096 : 20,495,932 = 20,495,932 : x
  2. Step 2: Convert to fraction form
    13,376,096/20,495,932 = 20,495,932/x
  3. Step 3: Cross multiply
    13,376,096x = 20,495,932 × 20,495,932
  4. Step 4: Simplify right side
    13,376,096x = 420,083,228,548,624
  5. Step 5: Solve for x
    x = 420,083,228,548,624/13,376,096
  6. Step 6: Final answer
    x = 31,405,518.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.