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Finding the Third Proportional to 18,978,432,677 and 39,527,698,693

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Solution

The third proportional to 18,978,432,677 and 39,527,698,693 is: 82,327,080,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978,432,677 : 39,527,698,693 = 39,527,698,693 : x
  2. Step 2: Convert to fraction form
    18,978,432,677/39,527,698,693 = 39,527,698,693/x
  3. Step 3: Cross multiply
    18,978,432,677x = 39,527,698,693 × 39,527,698,693
  4. Step 4: Simplify right side
    18,978,432,677x = 1,562,438,963,964,593,831,936
  5. Step 5: Solve for x
    x = 1,562,438,963,964,593,831,936/18,978,432,677
  6. Step 6: Final answer
    x = 82,327,080,984.83

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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.