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Finding the Third Proportional to 511,095,399 and 1,111,739,985

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Solution

The third proportional to 511,095,399 and 1,111,739,985 is: 2,418,268,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,095,399 : 1,111,739,985 = 1,111,739,985 : x
  2. Step 2: Convert to fraction form
    511,095,399/1,111,739,985 = 1,111,739,985/x
  3. Step 3: Cross multiply
    511,095,399x = 1,111,739,985 × 1,111,739,985
  4. Step 4: Simplify right side
    511,095,399x = 1,235,965,794,247,800,320
  5. Step 5: Solve for x
    x = 1,235,965,794,247,800,320/511,095,399
  6. Step 6: Final answer
    x = 2,418,268,285.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.