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Finding the Third Proportional to 18,978,432,676.50 and 39,527,698,691

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Solution

The third proportional to 18,978,432,676.50 and 39,527,698,691 is: 82,327,080,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978,432,676.50 : 39,527,698,691 = 39,527,698,691 : x
  2. Step 2: Convert to fraction form
    18,978,432,676.50/39,527,698,691 = 39,527,698,691/x
  3. Step 3: Cross multiply
    18,978,432,676.50x = 39,527,698,691 × 39,527,698,691
  4. Step 4: Simplify right side
    18,978,432,676.50x = 1,562,438,963,806,482,989,056
  5. Step 5: Solve for x
    x = 1,562,438,963,806,482,989,056/18,978,432,676.50
  6. Step 6: Final answer
    x = 82,327,080,978.67

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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.