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Finding the Third Proportional to 18,780,149 and 39,577,567

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Solution

The third proportional to 18,780,149 and 39,577,567 is: 83,406,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,780,149 : 39,577,567 = 39,577,567 : x
  2. Step 2: Convert to fraction form
    18,780,149/39,577,567 = 39,577,567/x
  3. Step 3: Cross multiply
    18,780,149x = 39,577,567 × 39,577,567
  4. Step 4: Simplify right side
    18,780,149x = 1,566,383,809,639,489
  5. Step 5: Solve for x
    x = 1,566,383,809,639,489/18,780,149
  6. Step 6: Final answer
    x = 83,406,356.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.