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Finding the Third Proportional to 8,971,809 and 19,457,994

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Solution

The third proportional to 8,971,809 and 19,457,994 is: 42,200,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971,809 : 19,457,994 = 19,457,994 : x
  2. Step 2: Convert to fraction form
    8,971,809/19,457,994 = 19,457,994/x
  3. Step 3: Cross multiply
    8,971,809x = 19,457,994 × 19,457,994
  4. Step 4: Simplify right side
    8,971,809x = 378,613,530,504,036
  5. Step 5: Solve for x
    x = 378,613,530,504,036/8,971,809
  6. Step 6: Final answer
    x = 42,200,355.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.