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Finding the Third Proportional to 6,594,422 and 13,897,324

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Solution

The third proportional to 6,594,422 and 13,897,324 is: 29,287,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,422 : 13,897,324 = 13,897,324 : x
  2. Step 2: Convert to fraction form
    6,594,422/13,897,324 = 13,897,324/x
  3. Step 3: Cross multiply
    6,594,422x = 13,897,324 × 13,897,324
  4. Step 4: Simplify right side
    6,594,422x = 193,135,614,360,976
  5. Step 5: Solve for x
    x = 193,135,614,360,976/6,594,422
  6. Step 6: Final answer
    x = 29,287,724.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.