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Finding the Third Proportional to 74,862,854,667 and 166,463,975,016

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Solution

The third proportional to 74,862,854,667 and 166,463,975,016 is: 370,146,918,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,862,854,667 : 166,463,975,016 = 166,463,975,016 : x
  2. Step 2: Convert to fraction form
    74,862,854,667/166,463,975,016 = 166,463,975,016/x
  3. Step 3: Cross multiply
    74,862,854,667x = 166,463,975,016 × 166,463,975,016
  4. Step 4: Simplify right side
    74,862,854,667x = 27,710,254,978,127,473,147,904
  5. Step 5: Solve for x
    x = 27,710,254,978,127,473,147,904/74,862,854,667
  6. Step 6: Final answer
    x = 370,146,918,673.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.