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Finding the Third Proportional to 8,326,168,074 and 18,178,087,668

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Solution

The third proportional to 8,326,168,074 and 18,178,087,668 is: 39,687,268,900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326,168,074 : 18,178,087,668 = 18,178,087,668 : x
  2. Step 2: Convert to fraction form
    8,326,168,074/18,178,087,668 = 18,178,087,668/x
  3. Step 3: Cross multiply
    8,326,168,074x = 18,178,087,668 × 18,178,087,668
  4. Step 4: Simplify right side
    8,326,168,074x = 330,442,871,265,493,647,360
  5. Step 5: Solve for x
    x = 330,442,871,265,493,647,360/8,326,168,074
  6. Step 6: Final answer
    x = 39,687,268,900.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.