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Finding the Third Proportional to 12,754,218,262 and 17,952,923,309

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Solution

The third proportional to 12,754,218,262 and 17,952,923,309 is: 25,270,655,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754,218,262 : 17,952,923,309 = 17,952,923,309 : x
  2. Step 2: Convert to fraction form
    12,754,218,262/17,952,923,309 = 17,952,923,309/x
  3. Step 3: Cross multiply
    12,754,218,262x = 17,952,923,309 × 17,952,923,309
  4. Step 4: Simplify right side
    12,754,218,262x = 322,307,455,338,835,542,016
  5. Step 5: Solve for x
    x = 322,307,455,338,835,542,016/12,754,218,262
  6. Step 6: Final answer
    x = 25,270,655,458.29

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