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Finding the Third Proportional to 702,905,067 and 1,463,989,158

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Solution

The third proportional to 702,905,067 and 1,463,989,158 is: 3,049,151,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,905,067 : 1,463,989,158 = 1,463,989,158 : x
  2. Step 2: Convert to fraction form
    702,905,067/1,463,989,158 = 1,463,989,158/x
  3. Step 3: Cross multiply
    702,905,067x = 1,463,989,158 × 1,463,989,158
  4. Step 4: Simplify right side
    702,905,067x = 2,143,264,254,741,549,056
  5. Step 5: Solve for x
    x = 2,143,264,254,741,549,056/702,905,067
  6. Step 6: Final answer
    x = 3,049,151,806.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.