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Finding the Third Proportional to 22,494,063,223 and 48,373,405,616.50

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Solution

The third proportional to 22,494,063,223 and 48,373,405,616.50 is: 104,026,842,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494,063,223 : 48,373,405,616.50 = 48,373,405,616.50 : x
  2. Step 2: Convert to fraction form
    22,494,063,223/48,373,405,616.50 = 48,373,405,616.50/x
  3. Step 3: Cross multiply
    22,494,063,223x = 48,373,405,616.50 × 48,373,405,616.50
  4. Step 4: Simplify right side
    22,494,063,223x = 2,339,986,370,938,433,699,840
  5. Step 5: Solve for x
    x = 2,339,986,370,938,433,699,840/22,494,063,223
  6. Step 6: Final answer
    x = 104,026,842,449.07

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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.