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Finding the Third Proportional to 1,382,296,826 and 3,046,349,764

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Solution

The third proportional to 1,382,296,826 and 3,046,349,764 is: 6,713,642,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,296,826 : 3,046,349,764 = 3,046,349,764 : x
  2. Step 2: Convert to fraction form
    1,382,296,826/3,046,349,764 = 3,046,349,764/x
  3. Step 3: Cross multiply
    1,382,296,826x = 3,046,349,764 × 3,046,349,764
  4. Step 4: Simplify right side
    1,382,296,826x = 9,280,246,884,622,856,192
  5. Step 5: Solve for x
    x = 9,280,246,884,622,856,192/1,382,296,826
  6. Step 6: Final answer
    x = 6,713,642,620.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.