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Finding the Third Proportional to 615,863,968 and 1,275,382,384

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Solution

The third proportional to 615,863,968 and 1,275,382,384 is: 2,641,168,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,863,968 : 1,275,382,384 = 1,275,382,384 : x
  2. Step 2: Convert to fraction form
    615,863,968/1,275,382,384 = 1,275,382,384/x
  3. Step 3: Cross multiply
    615,863,968x = 1,275,382,384 × 1,275,382,384
  4. Step 4: Simplify right side
    615,863,968x = 1,626,600,225,417,523,456
  5. Step 5: Solve for x
    x = 1,626,600,225,417,523,456/615,863,968
  6. Step 6: Final answer
    x = 2,641,168,033.75

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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.