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Finding the Third Proportional to 12,297,235.13 and 18,378,077.63

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Solution

The third proportional to 12,297,235.13 and 18,378,077.63 is: 27,465,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297,235.13 : 18,378,077.63 = 18,378,077.63 : x
  2. Step 2: Convert to fraction form
    12,297,235.13/18,378,077.63 = 18,378,077.63/x
  3. Step 3: Cross multiply
    12,297,235.13x = 18,378,077.63 × 18,378,077.63
  4. Step 4: Simplify right side
    12,297,235.13x = 337,753,737,190,525.62
  5. Step 5: Solve for x
    x = 337,753,737,190,525.62/12,297,235.13
  6. Step 6: Final answer
    x = 27,465,827.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.