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Finding the Third Proportional to 7,438,368 and 11,494,170

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Solution

The third proportional to 7,438,368 and 11,494,170 is: 17,761,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438,368 : 11,494,170 = 11,494,170 : x
  2. Step 2: Convert to fraction form
    7,438,368/11,494,170 = 11,494,170/x
  3. Step 3: Cross multiply
    7,438,368x = 11,494,170 × 11,494,170
  4. Step 4: Simplify right side
    7,438,368x = 132,115,943,988,900
  5. Step 5: Solve for x
    x = 132,115,943,988,900/7,438,368
  6. Step 6: Final answer
    x = 17,761,415.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.