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Finding the Third Proportional to 4,100,931 and 9,493,984

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Solution

The third proportional to 4,100,931 and 9,493,984 is: 21,979,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,931 : 9,493,984 = 9,493,984 : x
  2. Step 2: Convert to fraction form
    4,100,931/9,493,984 = 9,493,984/x
  3. Step 3: Cross multiply
    4,100,931x = 9,493,984 × 9,493,984
  4. Step 4: Simplify right side
    4,100,931x = 90,135,732,192,256
  5. Step 5: Solve for x
    x = 90,135,732,192,256/4,100,931
  6. Step 6: Final answer
    x = 21,979,334.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.