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Finding the Third Proportional to 54,566,638,056 and 119,419,887,091

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Solution

The third proportional to 54,566,638,056 and 119,419,887,091 is: 261,352,173,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,566,638,056 : 119,419,887,091 = 119,419,887,091 : x
  2. Step 2: Convert to fraction form
    54,566,638,056/119,419,887,091 = 119,419,887,091/x
  3. Step 3: Cross multiply
    54,566,638,056x = 119,419,887,091 × 119,419,887,091
  4. Step 4: Simplify right side
    54,566,638,056x = 14,261,109,432,827,187,822,592
  5. Step 5: Solve for x
    x = 14,261,109,432,827,187,822,592/54,566,638,056
  6. Step 6: Final answer
    x = 261,352,173,065.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.