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Finding the Third Proportional to 1,039,804,296 and 1,615,238,668

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Solution

The third proportional to 1,039,804,296 and 1,615,238,668 is: 2,509,122,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,804,296 : 1,615,238,668 = 1,615,238,668 : x
  2. Step 2: Convert to fraction form
    1,039,804,296/1,615,238,668 = 1,615,238,668/x
  3. Step 3: Cross multiply
    1,039,804,296x = 1,615,238,668 × 1,615,238,668
  4. Step 4: Simplify right side
    1,039,804,296x = 2,608,995,954,602,414,080
  5. Step 5: Solve for x
    x = 2,608,995,954,602,414,080/1,039,804,296
  6. Step 6: Final answer
    x = 2,509,122,115.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.