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Finding the Third Proportional to 34,434,806,091,257 and 75,888,522,270,796

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Solution

The third proportional to 34,434,806,091,257 and 75,888,522,270,796 is: 167,245,542,117,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,434,806,091,257 : 75,888,522,270,796 = 75,888,522,270,796 : x
  2. Step 2: Convert to fraction form
    34,434,806,091,257/75,888,522,270,796 = 75,888,522,270,796/x
  3. Step 3: Cross multiply
    34,434,806,091,257x = 75,888,522,270,796 × 75,888,522,270,796
  4. Step 4: Simplify right side
    34,434,806,091,257x = 5,759,067,812,445,100,616,032,714,752
  5. Step 5: Solve for x
    x = 5,759,067,812,445,100,616,032,714,752/34,434,806,091,257
  6. Step 6: Final answer
    x = 167,245,542,117,553.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.