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Finding the Third Proportional to 7,096,176 and 11,118,996

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Solution

The third proportional to 7,096,176 and 11,118,996 is: 17,422,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096,176 : 11,118,996 = 11,118,996 : x
  2. Step 2: Convert to fraction form
    7,096,176/11,118,996 = 11,118,996/x
  3. Step 3: Cross multiply
    7,096,176x = 11,118,996 × 11,118,996
  4. Step 4: Simplify right side
    7,096,176x = 123,632,072,048,016
  5. Step 5: Solve for x
    x = 123,632,072,048,016/7,096,176
  6. Step 6: Final answer
    x = 17,422,351.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.