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Finding the Third Proportional to 21,538,759,950 and 33,086,172,465

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Solution

The third proportional to 21,538,759,950 and 33,086,172,465 is: 50,824,411,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538,759,950 : 33,086,172,465 = 33,086,172,465 : x
  2. Step 2: Convert to fraction form
    21,538,759,950/33,086,172,465 = 33,086,172,465/x
  3. Step 3: Cross multiply
    21,538,759,950x = 33,086,172,465 × 33,086,172,465
  4. Step 4: Simplify right side
    21,538,759,950x = 1,094,694,808,383,724,191,744
  5. Step 5: Solve for x
    x = 1,094,694,808,383,724,191,744/21,538,759,950
  6. Step 6: Final answer
    x = 50,824,411,940.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.