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Finding the Third Proportional to 18,978,432,681 and 39,527,698,701

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Solution

The third proportional to 18,978,432,681 and 39,527,698,701 is: 82,327,081,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978,432,681 : 39,527,698,701 = 39,527,698,701 : x
  2. Step 2: Convert to fraction form
    18,978,432,681/39,527,698,701 = 39,527,698,701/x
  3. Step 3: Cross multiply
    18,978,432,681x = 39,527,698,701 × 39,527,698,701
  4. Step 4: Simplify right side
    18,978,432,681x = 1,562,438,964,597,037,203,456
  5. Step 5: Solve for x
    x = 1,562,438,964,597,037,203,456/18,978,432,681
  6. Step 6: Final answer
    x = 82,327,081,000.81

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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.