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Finding the Third Proportional to 12,933,654.75 and 17,983,022.63

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Solution

The third proportional to 12,933,654.75 and 17,983,022.63 is: 25,003,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933,654.75 : 17,983,022.63 = 17,983,022.63 : x
  2. Step 2: Convert to fraction form
    12,933,654.75/17,983,022.63 = 17,983,022.63/x
  3. Step 3: Cross multiply
    12,933,654.75x = 17,983,022.63 × 17,983,022.63
  4. Step 4: Simplify right side
    12,933,654.75x = 323,389,102,731,261.88
  5. Step 5: Solve for x
    x = 323,389,102,731,261.88/12,933,654.75
  6. Step 6: Final answer
    x = 25,003,690.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.