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Finding the Third Proportional to 17,945,728,460 and 39,268,744,819

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Solution

The third proportional to 17,945,728,460 and 39,268,744,819 is: 85,927,652,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,945,728,460 : 39,268,744,819 = 39,268,744,819 : x
  2. Step 2: Convert to fraction form
    17,945,728,460/39,268,744,819 = 39,268,744,819/x
  3. Step 3: Cross multiply
    17,945,728,460x = 39,268,744,819 × 39,268,744,819
  4. Step 4: Simplify right side
    17,945,728,460x = 1,542,034,319,659,739,381,760
  5. Step 5: Solve for x
    x = 1,542,034,319,659,739,381,760/17,945,728,460
  6. Step 6: Final answer
    x = 85,927,652,538.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.