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Finding the Third Proportional to 349,222,923 and 547,827,965

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Solution

The third proportional to 349,222,923 and 547,827,965 is: 859,380,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,222,923 : 547,827,965 = 547,827,965 : x
  2. Step 2: Convert to fraction form
    349,222,923/547,827,965 = 547,827,965/x
  3. Step 3: Cross multiply
    349,222,923x = 547,827,965 × 547,827,965
  4. Step 4: Simplify right side
    349,222,923x = 300,115,479,236,041,216
  5. Step 5: Solve for x
    x = 300,115,479,236,041,216/349,222,923
  6. Step 6: Final answer
    x = 859,380,812.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.