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Finding the Third Proportional to 18,978,432,080 and 39,527,697,744

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Solution

The third proportional to 18,978,432,080 and 39,527,697,744 is: 82,327,079,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978,432,080 : 39,527,697,744 = 39,527,697,744 : x
  2. Step 2: Convert to fraction form
    18,978,432,080/39,527,697,744 = 39,527,697,744/x
  3. Step 3: Cross multiply
    18,978,432,080x = 39,527,697,744 × 39,527,697,744
  4. Step 4: Simplify right side
    18,978,432,080x = 1,562,438,888,941,022,609,408
  5. Step 5: Solve for x
    x = 1,562,438,888,941,022,609,408/18,978,432,080
  6. Step 6: Final answer
    x = 82,327,079,621.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.