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Finding the Third Proportional to 7,042,950 and 11,194,767

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Solution

The third proportional to 7,042,950 and 11,194,767 is: 17,794,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042,950 : 11,194,767 = 11,194,767 : x
  2. Step 2: Convert to fraction form
    7,042,950/11,194,767 = 11,194,767/x
  3. Step 3: Cross multiply
    7,042,950x = 11,194,767 × 11,194,767
  4. Step 4: Simplify right side
    7,042,950x = 125,322,808,184,289
  5. Step 5: Solve for x
    x = 125,322,808,184,289/7,042,950
  6. Step 6: Final answer
    x = 17,794,078.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.