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Finding the Third Proportional to 66,954,876,129.75 and 144,560,818,049.25

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Solution

The third proportional to 66,954,876,129.75 and 144,560,818,049.25 is: 312,118,120,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,954,876,129.75 : 144,560,818,049.25 = 144,560,818,049.25 : x
  2. Step 2: Convert to fraction form
    66,954,876,129.75/144,560,818,049.25 = 144,560,818,049.25/x
  3. Step 3: Cross multiply
    66,954,876,129.75x = 144,560,818,049.25 × 144,560,818,049.25
  4. Step 4: Simplify right side
    66,954,876,129.75x = 20,897,830,115,068,365,242,368
  5. Step 5: Solve for x
    x = 20,897,830,115,068,365,242,368/66,954,876,129.75
  6. Step 6: Final answer
    x = 312,118,120,785.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.