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Finding the Third Proportional to 37,786,986 and 78,928,668

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Solution

The third proportional to 37,786,986 and 78,928,668 is: 164,864,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,786,986 : 78,928,668 = 78,928,668 : x
  2. Step 2: Convert to fraction form
    37,786,986/78,928,668 = 78,928,668/x
  3. Step 3: Cross multiply
    37,786,986x = 78,928,668 × 78,928,668
  4. Step 4: Simplify right side
    37,786,986x = 6,229,734,632,254,224
  5. Step 5: Solve for x
    x = 6,229,734,632,254,224/37,786,986
  6. Step 6: Final answer
    x = 164,864,555.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.