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Finding the Third Proportional to 17,667,968 and 38,172,711

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Solution

The third proportional to 17,667,968 and 38,172,711 is: 82,474,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667,968 : 38,172,711 = 38,172,711 : x
  2. Step 2: Convert to fraction form
    17,667,968/38,172,711 = 38,172,711/x
  3. Step 3: Cross multiply
    17,667,968x = 38,172,711 × 38,172,711
  4. Step 4: Simplify right side
    17,667,968x = 1,457,155,865,089,521
  5. Step 5: Solve for x
    x = 1,457,155,865,089,521/17,667,968
  6. Step 6: Final answer
    x = 82,474,445.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.