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Finding the Third Proportional to 511,183,872 and 1,119,673,368

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Solution

The third proportional to 511,183,872 and 1,119,673,368 is: 2,452,480,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,183,872 : 1,119,673,368 = 1,119,673,368 : x
  2. Step 2: Convert to fraction form
    511,183,872/1,119,673,368 = 1,119,673,368/x
  3. Step 3: Cross multiply
    511,183,872x = 1,119,673,368 × 1,119,673,368
  4. Step 4: Simplify right side
    511,183,872x = 1,253,668,451,008,463,360
  5. Step 5: Solve for x
    x = 1,253,668,451,008,463,360/511,183,872
  6. Step 6: Final answer
    x = 2,452,480,447.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.