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Finding the Third Proportional to 7,918,997,163.75 and 17,200,019,790

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Solution

The third proportional to 7,918,997,163.75 and 17,200,019,790 is: 37,358,351,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918,997,163.75 : 17,200,019,790 = 17,200,019,790 : x
  2. Step 2: Convert to fraction form
    7,918,997,163.75/17,200,019,790 = 17,200,019,790/x
  3. Step 3: Cross multiply
    7,918,997,163.75x = 17,200,019,790 × 17,200,019,790
  4. Step 4: Simplify right side
    7,918,997,163.75x = 295,840,680,776,391,655,424
  5. Step 5: Solve for x
    x = 295,840,680,776,391,655,424/7,918,997,163.75
  6. Step 6: Final answer
    x = 37,358,351,652.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.