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Finding the Third Proportional to 216,524,375,568 and 450,867,791,340

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Solution

The third proportional to 216,524,375,568 and 450,867,791,340 is: 938,840,094,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,524,375,568 : 450,867,791,340 = 450,867,791,340 : x
  2. Step 2: Convert to fraction form
    216,524,375,568/450,867,791,340 = 450,867,791,340/x
  3. Step 3: Cross multiply
    216,524,375,568x = 450,867,791,340 × 450,867,791,340
  4. Step 4: Simplify right side
    216,524,375,568x = 203,281,765,267,809,786,396,672
  5. Step 5: Solve for x
    x = 203,281,765,267,809,786,396,672/216,524,375,568
  6. Step 6: Final answer
    x = 938,840,094,721.66

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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.