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Finding the Third Proportional to 511,095,384 and 1,111,739,966

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Solution

The third proportional to 511,095,384 and 1,111,739,966 is: 2,418,268,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,095,384 : 1,111,739,966 = 1,111,739,966 : x
  2. Step 2: Convert to fraction form
    511,095,384/1,111,739,966 = 1,111,739,966/x
  3. Step 3: Cross multiply
    511,095,384x = 1,111,739,966 × 1,111,739,966
  4. Step 4: Simplify right side
    511,095,384x = 1,235,965,752,001,681,152
  5. Step 5: Solve for x
    x = 1,235,965,752,001,681,152/511,095,384
  6. Step 6: Final answer
    x = 2,418,268,273.78

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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.