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Finding the Third Proportional to 511,095,560 and 1,111,740,306

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Solution

The third proportional to 511,095,560 and 1,111,740,306 is: 2,418,268,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,095,560 : 1,111,740,306 = 1,111,740,306 : x
  2. Step 2: Convert to fraction form
    511,095,560/1,111,740,306 = 1,111,740,306/x
  3. Step 3: Cross multiply
    511,095,560x = 1,111,740,306 × 1,111,740,306
  4. Step 4: Simplify right side
    511,095,560x = 1,235,966,507,984,973,568
  5. Step 5: Solve for x
    x = 1,235,966,507,984,973,568/511,095,560
  6. Step 6: Final answer
    x = 2,418,268,920.17

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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.