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Finding the Third Proportional to 615,795,864.75 and 1,275,246,474.75

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Solution

The third proportional to 615,795,864.75 and 1,275,246,474.75 is: 2,640,897,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,795,864.75 : 1,275,246,474.75 = 1,275,246,474.75 : x
  2. Step 2: Convert to fraction form
    615,795,864.75/1,275,246,474.75 = 1,275,246,474.75/x
  3. Step 3: Cross multiply
    615,795,864.75x = 1,275,246,474.75 × 1,275,246,474.75
  4. Step 4: Simplify right side
    615,795,864.75x = 1,626,253,571,362,302,464
  5. Step 5: Solve for x
    x = 1,626,253,571,362,302,464/615,795,864.75
  6. Step 6: Final answer
    x = 2,640,897,194.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.