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Finding the Third Proportional to 463,845,694.50 and 994,089,499.50

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Solution

The third proportional to 463,845,694.50 and 994,089,499.50 is: 2,130,479,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,845,694.50 : 994,089,499.50 = 994,089,499.50 : x
  2. Step 2: Convert to fraction form
    463,845,694.50/994,089,499.50 = 994,089,499.50/x
  3. Step 3: Cross multiply
    463,845,694.50x = 994,089,499.50 × 994,089,499.50
  4. Step 4: Simplify right side
    463,845,694.50x = 988,213,933,016,160,512
  5. Step 5: Solve for x
    x = 988,213,933,016,160,512/463,845,694.50
  6. Step 6: Final answer
    x = 2,130,479,909.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.