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Finding the Third Proportional to 6,787,242 and 14,637,204

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Solution

The third proportional to 6,787,242 and 14,637,204 is: 31,566,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,242 : 14,637,204 = 14,637,204 : x
  2. Step 2: Convert to fraction form
    6,787,242/14,637,204 = 14,637,204/x
  3. Step 3: Cross multiply
    6,787,242x = 14,637,204 × 14,637,204
  4. Step 4: Simplify right side
    6,787,242x = 214,247,740,937,616
  5. Step 5: Solve for x
    x = 214,247,740,937,616/6,787,242
  6. Step 6: Final answer
    x = 31,566,244.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.