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Finding the Third Proportional to 12,754,218,336 and 17,952,923,400

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Solution

The third proportional to 12,754,218,336 and 17,952,923,400 is: 25,270,655,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754,218,336 : 17,952,923,400 = 17,952,923,400 : x
  2. Step 2: Convert to fraction form
    12,754,218,336/17,952,923,400 = 17,952,923,400/x
  3. Step 3: Cross multiply
    12,754,218,336x = 17,952,923,400 × 17,952,923,400
  4. Step 4: Simplify right side
    12,754,218,336x = 322,307,458,606,267,564,032
  5. Step 5: Solve for x
    x = 322,307,458,606,267,564,032/12,754,218,336
  6. Step 6: Final answer
    x = 25,270,655,567.85

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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.