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Finding the Third Proportional to 463,845,690 and 994,089,489.75

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Solution

The third proportional to 463,845,690 and 994,089,489.75 is: 2,130,479,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,845,690 : 994,089,489.75 = 994,089,489.75 : x
  2. Step 2: Convert to fraction form
    463,845,690/994,089,489.75 = 994,089,489.75/x
  3. Step 3: Cross multiply
    463,845,690x = 994,089,489.75 × 994,089,489.75
  4. Step 4: Simplify right side
    463,845,690x = 988,213,913,631,415,296
  5. Step 5: Solve for x
    x = 988,213,913,631,415,296/463,845,690
  6. Step 6: Final answer
    x = 2,130,479,887.89

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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.