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Finding the Third Proportional to 1,065,469,698,048 and 2,514,317,797,476

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Solution

The third proportional to 1,065,469,698,048 and 2,514,317,797,476 is: 5,933,340,007,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,469,698,048 : 2,514,317,797,476 = 2,514,317,797,476 : x
  2. Step 2: Convert to fraction form
    1,065,469,698,048/2,514,317,797,476 = 2,514,317,797,476/x
  3. Step 3: Cross multiply
    1,065,469,698,048x = 2,514,317,797,476 × 2,514,317,797,476
  4. Step 4: Simplify right side
    1,065,469,698,048x = 6,321,793,986,704,563,247,251,456
  5. Step 5: Solve for x
    x = 6,321,793,986,704,563,247,251,456/1,065,469,698,048
  6. Step 6: Final answer
    x = 5,933,340,007,966.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.