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Finding the Third Proportional to 538,127,205,032 and 756,839,908,900

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Solution

The third proportional to 538,127,205,032 and 756,839,908,900 is: 1,064,444,693,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,127,205,032 : 756,839,908,900 = 756,839,908,900 : x
  2. Step 2: Convert to fraction form
    538,127,205,032/756,839,908,900 = 756,839,908,900/x
  3. Step 3: Cross multiply
    538,127,205,032x = 756,839,908,900 × 756,839,908,900
  4. Step 4: Simplify right side
    538,127,205,032x = 572,806,647,703,760,321,642,496
  5. Step 5: Solve for x
    x = 572,806,647,703,760,321,642,496/538,127,205,032
  6. Step 6: Final answer
    x = 1,064,444,693,276.00

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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.