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Finding the Third Proportional to 18,978,432,675 and 39,527,698,689

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Solution

The third proportional to 18,978,432,675 and 39,527,698,689 is: 82,327,080,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978,432,675 : 39,527,698,689 = 39,527,698,689 : x
  2. Step 2: Convert to fraction form
    18,978,432,675/39,527,698,689 = 39,527,698,689/x
  3. Step 3: Cross multiply
    18,978,432,675x = 39,527,698,689 × 39,527,698,689
  4. Step 4: Simplify right side
    18,978,432,675x = 1,562,438,963,648,372,408,320
  5. Step 5: Solve for x
    x = 1,562,438,963,648,372,408,320/18,978,432,675
  6. Step 6: Final answer
    x = 82,327,080,976.85

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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.