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Finding the Third Proportional to 6,321,123 and 13,872,609

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Solution

The third proportional to 6,321,123 and 13,872,609 is: 30,445,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321,123 : 13,872,609 = 13,872,609 : x
  2. Step 2: Convert to fraction form
    6,321,123/13,872,609 = 13,872,609/x
  3. Step 3: Cross multiply
    6,321,123x = 13,872,609 × 13,872,609
  4. Step 4: Simplify right side
    6,321,123x = 192,449,280,466,881
  5. Step 5: Solve for x
    x = 192,449,280,466,881/6,321,123
  6. Step 6: Final answer
    x = 30,445,425.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.