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Finding the Third Proportional to 23,255,571,676 and 51,013,472,110

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Solution

The third proportional to 23,255,571,676 and 51,013,472,110 is: 111,903,262,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,255,571,676 : 51,013,472,110 = 51,013,472,110 : x
  2. Step 2: Convert to fraction form
    23,255,571,676/51,013,472,110 = 51,013,472,110/x
  3. Step 3: Cross multiply
    23,255,571,676x = 51,013,472,110 × 51,013,472,110
  4. Step 4: Simplify right side
    23,255,571,676x = 2,602,374,336,717,747,912,704
  5. Step 5: Solve for x
    x = 2,602,374,336,717,747,912,704/23,255,571,676
  6. Step 6: Final answer
    x = 111,903,262,279.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.