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Finding the Third Proportional to 18,978,432,830 and 39,527,698,940

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Solution

The third proportional to 18,978,432,830 and 39,527,698,940 is: 82,327,081,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978,432,830 : 39,527,698,940 = 39,527,698,940 : x
  2. Step 2: Convert to fraction form
    18,978,432,830/39,527,698,940 = 39,527,698,940/x
  3. Step 3: Cross multiply
    18,978,432,830x = 39,527,698,940 × 39,527,698,940
  4. Step 4: Simplify right side
    18,978,432,830x = 1,562,438,983,491,277,029,376
  5. Step 5: Solve for x
    x = 1,562,438,983,491,277,029,376/18,978,432,830
  6. Step 6: Final answer
    x = 82,327,081,350.02

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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.