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Finding the Third Proportional to 13,667,196 and 19,224,632

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Solution

The third proportional to 13,667,196 and 19,224,632 is: 27,041,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667,196 : 19,224,632 = 19,224,632 : x
  2. Step 2: Convert to fraction form
    13,667,196/19,224,632 = 19,224,632/x
  3. Step 3: Cross multiply
    13,667,196x = 19,224,632 × 19,224,632
  4. Step 4: Simplify right side
    13,667,196x = 369,586,475,535,424
  5. Step 5: Solve for x
    x = 369,586,475,535,424/13,667,196
  6. Step 6: Final answer
    x = 27,041,865.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.