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Finding the Third Proportional to 463,845,691.50 and 994,089,492.75

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Solution

The third proportional to 463,845,691.50 and 994,089,492.75 is: 2,130,479,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,845,691.50 : 994,089,492.75 = 994,089,492.75 : x
  2. Step 2: Convert to fraction form
    463,845,691.50/994,089,492.75 = 994,089,492.75/x
  3. Step 3: Cross multiply
    463,845,691.50x = 994,089,492.75 × 994,089,492.75
  4. Step 4: Simplify right side
    463,845,691.50x = 988,213,919,595,952,256
  5. Step 5: Solve for x
    x = 988,213,919,595,952,256/463,845,691.50
  6. Step 6: Final answer
    x = 2,130,479,893.86

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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.