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Finding the Third Proportional to 66,566,519,579 and 142,558,283,074

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Solution

The third proportional to 66,566,519,579 and 142,558,283,074 is: 305,301,587,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,566,519,579 : 142,558,283,074 = 142,558,283,074 : x
  2. Step 2: Convert to fraction form
    66,566,519,579/142,558,283,074 = 142,558,283,074/x
  3. Step 3: Cross multiply
    66,566,519,579x = 142,558,283,074 × 142,558,283,074
  4. Step 4: Simplify right side
    66,566,519,579x = 20,322,864,073,006,714,454,016
  5. Step 5: Solve for x
    x = 20,322,864,073,006,714,454,016/66,566,519,579
  6. Step 6: Final answer
    x = 305,301,587,067.17

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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.