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Finding the Third Proportional to 511,095,362 and 1,111,739,919.50

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Solution

The third proportional to 511,095,362 and 1,111,739,919.50 is: 2,418,268,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,095,362 : 1,111,739,919.50 = 1,111,739,919.50 : x
  2. Step 2: Convert to fraction form
    511,095,362/1,111,739,919.50 = 1,111,739,919.50/x
  3. Step 3: Cross multiply
    511,095,362x = 1,111,739,919.50 × 1,111,739,919.50
  4. Step 4: Simplify right side
    511,095,362x = 1,235,965,648,609,866,496
  5. Step 5: Solve for x
    x = 1,235,965,648,609,866,496/511,095,362
  6. Step 6: Final answer
    x = 2,418,268,175.58

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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.