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Finding the Third Proportional to 22,494,063,235 and 48,373,405,642

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Solution

The third proportional to 22,494,063,235 and 48,373,405,642 is: 104,026,842,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494,063,235 : 48,373,405,642 = 48,373,405,642 : x
  2. Step 2: Convert to fraction form
    22,494,063,235/48,373,405,642 = 48,373,405,642/x
  3. Step 3: Cross multiply
    22,494,063,235x = 48,373,405,642 × 48,373,405,642
  4. Step 4: Simplify right side
    22,494,063,235x = 2,339,986,373,405,477,437,440
  5. Step 5: Solve for x
    x = 2,339,986,373,405,477,437,440/22,494,063,235
  6. Step 6: Final answer
    x = 104,026,842,503.25

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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.