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Finding the Third Proportional to 12,754,218,262 and 17,952,923,306

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Solution

The third proportional to 12,754,218,262 and 17,952,923,306 is: 25,270,655,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754,218,262 : 17,952,923,306 = 17,952,923,306 : x
  2. Step 2: Convert to fraction form
    12,754,218,262/17,952,923,306 = 17,952,923,306/x
  3. Step 3: Cross multiply
    12,754,218,262x = 17,952,923,306 × 17,952,923,306
  4. Step 4: Simplify right side
    12,754,218,262x = 322,307,455,231,117,950,976
  5. Step 5: Solve for x
    x = 322,307,455,231,117,950,976/12,754,218,262
  6. Step 6: Final answer
    x = 25,270,655,449.84

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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.