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Finding the Third Proportional to 7,443,841.78 and 11,384,747.44

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Solution

The third proportional to 7,443,841.78 and 11,384,747.44 is: 17,412,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443,841.78 : 11,384,747.44 = 11,384,747.44 : x
  2. Step 2: Convert to fraction form
    7,443,841.78/11,384,747.44 = 11,384,747.44/x
  3. Step 3: Cross multiply
    7,443,841.78x = 11,384,747.44 × 11,384,747.44
  4. Step 4: Simplify right side
    7,443,841.78x = 129,612,474,215,662.81
  5. Step 5: Solve for x
    x = 129,612,474,215,662.81/7,443,841.78
  6. Step 6: Final answer
    x = 17,412,040.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.