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Finding the Third Proportional to 6,522,556.50 and 13,834,377

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Solution

The third proportional to 6,522,556.50 and 13,834,377 is: 29,342,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522,556.50 : 13,834,377 = 13,834,377 : x
  2. Step 2: Convert to fraction form
    6,522,556.50/13,834,377 = 13,834,377/x
  3. Step 3: Cross multiply
    6,522,556.50x = 13,834,377 × 13,834,377
  4. Step 4: Simplify right side
    6,522,556.50x = 191,389,986,978,129
  5. Step 5: Solve for x
    x = 191,389,986,978,129/6,522,556.50
  6. Step 6: Final answer
    x = 29,342,787.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.