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Finding the Third Proportional to 6,168,123 and 13,365,911.25

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Solution

The third proportional to 6,168,123 and 13,365,911.25 is: 28,963,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168,123 : 13,365,911.25 = 13,365,911.25 : x
  2. Step 2: Convert to fraction form
    6,168,123/13,365,911.25 = 13,365,911.25/x
  3. Step 3: Cross multiply
    6,168,123x = 13,365,911.25 × 13,365,911.25
  4. Step 4: Simplify right side
    6,168,123x = 178,647,583,542,876.56
  5. Step 5: Solve for x
    x = 178,647,583,542,876.56/6,168,123
  6. Step 6: Final answer
    x = 28,963,038.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.