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Finding the Third Proportional to 54,634,927,029 and 121,832,194,200

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Solution

The third proportional to 54,634,927,029 and 121,832,194,200 is: 271,677,557,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,634,927,029 : 121,832,194,200 = 121,832,194,200 : x
  2. Step 2: Convert to fraction form
    54,634,927,029/121,832,194,200 = 121,832,194,200/x
  3. Step 3: Cross multiply
    54,634,927,029x = 121,832,194,200 × 121,832,194,200
  4. Step 4: Simplify right side
    54,634,927,029x = 14,843,083,543,586,514,403,328
  5. Step 5: Solve for x
    x = 14,843,083,543,586,514,403,328/54,634,927,029
  6. Step 6: Final answer
    x = 271,677,557,759.12

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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.