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Finding the Third Proportional to 7,096,202 and 11,119,041

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Solution

The third proportional to 7,096,202 and 11,119,041 is: 17,422,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096,202 : 11,119,041 = 11,119,041 : x
  2. Step 2: Convert to fraction form
    7,096,202/11,119,041 = 11,119,041/x
  3. Step 3: Cross multiply
    7,096,202x = 11,119,041 × 11,119,041
  4. Step 4: Simplify right side
    7,096,202x = 123,633,072,759,681
  5. Step 5: Solve for x
    x = 123,633,072,759,681/7,096,202
  6. Step 6: Final answer
    x = 17,422,428.61

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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.