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Finding the Third Proportional to 3,107,722 and 6,762,356

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Solution

The third proportional to 3,107,722 and 6,762,356 is: 14,714,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107,722 : 6,762,356 = 6,762,356 : x
  2. Step 2: Convert to fraction form
    3,107,722/6,762,356 = 6,762,356/x
  3. Step 3: Cross multiply
    3,107,722x = 6,762,356 × 6,762,356
  4. Step 4: Simplify right side
    3,107,722x = 45,729,458,670,736
  5. Step 5: Solve for x
    x = 45,729,458,670,736/3,107,722
  6. Step 6: Final answer
    x = 14,714,784.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.