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Finding the Third Proportional to 6,952,420 and 14,540,204

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Solution

The third proportional to 6,952,420 and 14,540,204 is: 30,409,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952,420 : 14,540,204 = 14,540,204 : x
  2. Step 2: Convert to fraction form
    6,952,420/14,540,204 = 14,540,204/x
  3. Step 3: Cross multiply
    6,952,420x = 14,540,204 × 14,540,204
  4. Step 4: Simplify right side
    6,952,420x = 211,417,532,361,616
  5. Step 5: Solve for x
    x = 211,417,532,361,616/6,952,420
  6. Step 6: Final answer
    x = 30,409,200.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.