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Finding the Third Proportional to 462,443,598.25 and 1,091,284,134.75

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Solution

The third proportional to 462,443,598.25 and 1,091,284,134.75 is: 2,575,235,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,443,598.25 : 1,091,284,134.75 = 1,091,284,134.75 : x
  2. Step 2: Convert to fraction form
    462,443,598.25/1,091,284,134.75 = 1,091,284,134.75/x
  3. Step 3: Cross multiply
    462,443,598.25x = 1,091,284,134.75 × 1,091,284,134.75
  4. Step 4: Simplify right side
    462,443,598.25x = 1,190,901,062,757,056,256
  5. Step 5: Solve for x
    x = 1,190,901,062,757,056,256/462,443,598.25
  6. Step 6: Final answer
    x = 2,575,235,266.02

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.