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Finding the Third Proportional to 31,049,042,894 and 67,538,199,400

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Solution

The third proportional to 31,049,042,894 and 67,538,199,400 is: 146,909,790,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049,042,894 : 67,538,199,400 = 67,538,199,400 : x
  2. Step 2: Convert to fraction form
    31,049,042,894/67,538,199,400 = 67,538,199,400/x
  3. Step 3: Cross multiply
    31,049,042,894x = 67,538,199,400 × 67,538,199,400
  4. Step 4: Simplify right side
    31,049,042,894x = 4,561,408,378,194,160,517,120
  5. Step 5: Solve for x
    x = 4,561,408,378,194,160,517,120/31,049,042,894
  6. Step 6: Final answer
    x = 146,909,790,223.38

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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.