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Finding the Third Proportional to 4,863,837,126 and 9,863,016,234

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Solution

The third proportional to 4,863,837,126 and 9,863,016,234 is: 20,000,482,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863,837,126 : 9,863,016,234 = 9,863,016,234 : x
  2. Step 2: Convert to fraction form
    4,863,837,126/9,863,016,234 = 9,863,016,234/x
  3. Step 3: Cross multiply
    4,863,837,126x = 9,863,016,234 × 9,863,016,234
  4. Step 4: Simplify right side
    4,863,837,126x = 97,279,089,232,147,546,112
  5. Step 5: Solve for x
    x = 97,279,089,232,147,546,112/4,863,837,126
  6. Step 6: Final answer
    x = 20,000,482,481.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.