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Finding the Third Proportional to 38,659,431,417 and 83,227,227,648

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Solution

The third proportional to 38,659,431,417 and 83,227,227,648 is: 179,174,167,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,659,431,417 : 83,227,227,648 = 83,227,227,648 : x
  2. Step 2: Convert to fraction form
    38,659,431,417/83,227,227,648 = 83,227,227,648/x
  3. Step 3: Cross multiply
    38,659,431,417x = 83,227,227,648 × 83,227,227,648
  4. Step 4: Simplify right side
    38,659,431,417x = 6,926,771,421,972,015,349,760
  5. Step 5: Solve for x
    x = 6,926,771,421,972,015,349,760/38,659,431,417
  6. Step 6: Final answer
    x = 179,174,167,029.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.