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Finding the Third Proportional to 14,215,067 and 20,789,478.50

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Solution

The third proportional to 14,215,067 and 20,789,478.50 is: 30,404,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215,067 : 20,789,478.50 = 20,789,478.50 : x
  2. Step 2: Convert to fraction form
    14,215,067/20,789,478.50 = 20,789,478.50/x
  3. Step 3: Cross multiply
    14,215,067x = 20,789,478.50 × 20,789,478.50
  4. Step 4: Simplify right side
    14,215,067x = 432,202,416,301,962.25
  5. Step 5: Solve for x
    x = 432,202,416,301,962.25/14,215,067
  6. Step 6: Final answer
    x = 30,404,528.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.