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Finding the Third Proportional to 511,805,991 and 1,105,166,034

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Solution

The third proportional to 511,805,991 and 1,105,166,034 is: 2,386,435,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,805,991 : 1,105,166,034 = 1,105,166,034 : x
  2. Step 2: Convert to fraction form
    511,805,991/1,105,166,034 = 1,105,166,034/x
  3. Step 3: Cross multiply
    511,805,991x = 1,105,166,034 × 1,105,166,034
  4. Step 4: Simplify right side
    511,805,991x = 1,221,391,962,707,289,088
  5. Step 5: Solve for x
    x = 1,221,391,962,707,289,088/511,805,991
  6. Step 6: Final answer
    x = 2,386,435,454.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.