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Finding the Third Proportional to 938,986,102,458 and 2,033,891,950,002

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Solution

The third proportional to 938,986,102,458 and 2,033,891,950,002 is: 4,405,514,046,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,986,102,458 : 2,033,891,950,002 = 2,033,891,950,002 : x
  2. Step 2: Convert to fraction form
    938,986,102,458/2,033,891,950,002 = 2,033,891,950,002/x
  3. Step 3: Cross multiply
    938,986,102,458x = 2,033,891,950,002 × 2,033,891,950,002
  4. Step 4: Simplify right side
    938,986,102,458x = 4,136,716,464,282,938,009,190,400
  5. Step 5: Solve for x
    x = 4,136,716,464,282,938,009,190,400/938,986,102,458
  6. Step 6: Final answer
    x = 4,405,514,046,964.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.