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Finding the Third Proportional to 538,127,204,987 and 756,839,908,834

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Solution

The third proportional to 538,127,204,987 and 756,839,908,834 is: 1,064,444,693,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,127,204,987 : 756,839,908,834 = 756,839,908,834 : x
  2. Step 2: Convert to fraction form
    538,127,204,987/756,839,908,834 = 756,839,908,834/x
  3. Step 3: Cross multiply
    538,127,204,987x = 756,839,908,834 × 756,839,908,834
  4. Step 4: Simplify right side
    538,127,204,987x = 572,806,647,603,857,436,180,480
  5. Step 5: Solve for x
    x = 572,806,647,603,857,436,180,480/538,127,204,987
  6. Step 6: Final answer
    x = 1,064,444,693,179.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.