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Finding the Third Proportional to 2,578,791,276,054 and 5,519,841,436,980

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Solution

The third proportional to 2,578,791,276,054 and 5,519,841,436,980 is: 11,815,089,407,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,791,276,054 : 5,519,841,436,980 = 5,519,841,436,980 : x
  2. Step 2: Convert to fraction form
    2,578,791,276,054/5,519,841,436,980 = 5,519,841,436,980/x
  3. Step 3: Cross multiply
    2,578,791,276,054x = 5,519,841,436,980 × 5,519,841,436,980
  4. Step 4: Simplify right side
    2,578,791,276,054x = 30,468,649,489,401,429,283,045,376
  5. Step 5: Solve for x
    x = 30,468,649,489,401,429,283,045,376/2,578,791,276,054
  6. Step 6: Final answer
    x = 11,815,089,407,322.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.