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Finding the Third Proportional to 54,634,953,640 and 121,832,253,976

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Solution

The third proportional to 54,634,953,640 and 121,832,253,976 is: 271,677,692,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,634,953,640 : 121,832,253,976 = 121,832,253,976 : x
  2. Step 2: Convert to fraction form
    54,634,953,640/121,832,253,976 = 121,832,253,976/x
  3. Step 3: Cross multiply
    54,634,953,640x = 121,832,253,976 × 121,832,253,976
  4. Step 4: Simplify right side
    54,634,953,640x = 14,843,098,108,872,567,554,048
  5. Step 5: Solve for x
    x = 14,843,098,108,872,567,554,048/54,634,953,640
  6. Step 6: Final answer
    x = 271,677,692,026.18

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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.