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Finding the Third Proportional to 657,629,084 and 1,431,027,744

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Solution

The third proportional to 657,629,084 and 1,431,027,744 is: 3,113,974,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,629,084 : 1,431,027,744 = 1,431,027,744 : x
  2. Step 2: Convert to fraction form
    657,629,084/1,431,027,744 = 1,431,027,744/x
  3. Step 3: Cross multiply
    657,629,084x = 1,431,027,744 × 1,431,027,744
  4. Step 4: Simplify right side
    657,629,084x = 2,047,840,404,097,729,536
  5. Step 5: Solve for x
    x = 2,047,840,404,097,729,536/657,629,084
  6. Step 6: Final answer
    x = 3,113,974,813.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.