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Finding the Third Proportional to 54,634,947,776 and 121,832,233,424

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Solution

The third proportional to 54,634,947,776 and 121,832,233,424 is: 271,677,629,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,634,947,776 : 121,832,233,424 = 121,832,233,424 : x
  2. Step 2: Convert to fraction form
    54,634,947,776/121,832,233,424 = 121,832,233,424/x
  3. Step 3: Cross multiply
    54,634,947,776x = 121,832,233,424 × 121,832,233,424
  4. Step 4: Simplify right side
    54,634,947,776x = 14,843,093,101,080,022,614,016
  5. Step 5: Solve for x
    x = 14,843,093,101,080,022,614,016/54,634,947,776
  6. Step 6: Final answer
    x = 271,677,629,526.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.