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Finding the Third Proportional to 9,206,737 and 13,938,042

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Solution

The third proportional to 9,206,737 and 13,938,042 is: 21,100,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206,737 : 13,938,042 = 13,938,042 : x
  2. Step 2: Convert to fraction form
    9,206,737/13,938,042 = 13,938,042/x
  3. Step 3: Cross multiply
    9,206,737x = 13,938,042 × 13,938,042
  4. Step 4: Simplify right side
    9,206,737x = 194,269,014,793,764
  5. Step 5: Solve for x
    x = 194,269,014,793,764/9,206,737
  6. Step 6: Final answer
    x = 21,100,745.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.