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Finding the Third Proportional to 9,615,917,401 and 20,887,160,845

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Solution

The third proportional to 9,615,917,401 and 20,887,160,845 is: 45,369,928,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615,917,401 : 20,887,160,845 = 20,887,160,845 : x
  2. Step 2: Convert to fraction form
    9,615,917,401/20,887,160,845 = 20,887,160,845/x
  3. Step 3: Cross multiply
    9,615,917,401x = 20,887,160,845 × 20,887,160,845
  4. Step 4: Simplify right side
    9,615,917,401x = 436,273,488,164,901,093,376
  5. Step 5: Solve for x
    x = 436,273,488,164,901,093,376/9,615,917,401
  6. Step 6: Final answer
    x = 45,369,928,834.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.