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Finding the Third Proportional to 6,155,916 and 9,199,420

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Solution

The third proportional to 6,155,916 and 9,199,420 is: 13,747,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155,916 : 9,199,420 = 9,199,420 : x
  2. Step 2: Convert to fraction form
    6,155,916/9,199,420 = 9,199,420/x
  3. Step 3: Cross multiply
    6,155,916x = 9,199,420 × 9,199,420
  4. Step 4: Simplify right side
    6,155,916x = 84,629,328,336,400
  5. Step 5: Solve for x
    x = 84,629,328,336,400/6,155,916
  6. Step 6: Final answer
    x = 13,747,641.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.