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Finding the Third Proportional to 27,471,091,242 and 59,505,938,268

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Solution

The third proportional to 27,471,091,242 and 59,505,938,268 is: 128,897,562,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471,091,242 : 59,505,938,268 = 59,505,938,268 : x
  2. Step 2: Convert to fraction form
    27,471,091,242/59,505,938,268 = 59,505,938,268/x
  3. Step 3: Cross multiply
    27,471,091,242x = 59,505,938,268 × 59,505,938,268
  4. Step 4: Simplify right side
    27,471,091,242x = 3,540,956,689,155,026,845,696
  5. Step 5: Solve for x
    x = 3,540,956,689,155,026,845,696/27,471,091,242
  6. Step 6: Final answer
    x = 128,897,562,093.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.