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Finding the Third Proportional to 24,058,263,920 and 50,096,421,199

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Solution

The third proportional to 24,058,263,920 and 50,096,421,199 is: 104,315,565,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,058,263,920 : 50,096,421,199 = 50,096,421,199 : x
  2. Step 2: Convert to fraction form
    24,058,263,920/50,096,421,199 = 50,096,421,199/x
  3. Step 3: Cross multiply
    24,058,263,920x = 50,096,421,199 × 50,096,421,199
  4. Step 4: Simplify right side
    24,058,263,920x = 2,509,651,416,947,616,645,120
  5. Step 5: Solve for x
    x = 2,509,651,416,947,616,645,120/24,058,263,920
  6. Step 6: Final answer
    x = 104,315,565,964.90

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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.