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Finding the Third Proportional to 3,122,638.59 and 7,228,458.98

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Solution

The third proportional to 3,122,638.59 and 7,228,458.98 is: 16,732,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122,638.59 : 7,228,458.98 = 7,228,458.98 : x
  2. Step 2: Convert to fraction form
    3,122,638.59/7,228,458.98 = 7,228,458.98/x
  3. Step 3: Cross multiply
    3,122,638.59x = 7,228,458.98 × 7,228,458.98
  4. Step 4: Simplify right side
    3,122,638.59x = 52,250,619,288,791.66
  5. Step 5: Solve for x
    x = 52,250,619,288,791.66/3,122,638.59
  6. Step 6: Final answer
    x = 16,732,842.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.