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Finding the Third Proportional to 22,494,063,234 and 48,373,405,640

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Solution

The third proportional to 22,494,063,234 and 48,373,405,640 is: 104,026,842,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494,063,234 : 48,373,405,640 = 48,373,405,640 : x
  2. Step 2: Convert to fraction form
    22,494,063,234/48,373,405,640 = 48,373,405,640/x
  3. Step 3: Cross multiply
    22,494,063,234x = 48,373,405,640 × 48,373,405,640
  4. Step 4: Simplify right side
    22,494,063,234x = 2,339,986,373,211,983,708,160
  5. Step 5: Solve for x
    x = 2,339,986,373,211,983,708,160/22,494,063,234
  6. Step 6: Final answer
    x = 104,026,842,499.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.