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Finding the Third Proportional to 9,971,023.50 and 21,689,067

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Solution

The third proportional to 9,971,023.50 and 21,689,067 is: 47,178,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,023.50 : 21,689,067 = 21,689,067 : x
  2. Step 2: Convert to fraction form
    9,971,023.50/21,689,067 = 21,689,067/x
  3. Step 3: Cross multiply
    9,971,023.50x = 21,689,067 × 21,689,067
  4. Step 4: Simplify right side
    9,971,023.50x = 470,415,627,330,489
  5. Step 5: Solve for x
    x = 470,415,627,330,489/9,971,023.50
  6. Step 6: Final answer
    x = 47,178,268.84

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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.