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Finding the Third Proportional to 852,286,652,175 and 1,854,610,126,051

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Solution

The third proportional to 852,286,652,175 and 1,854,610,126,051 is: 4,035,706,426,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,286,652,175 : 1,854,610,126,051 = 1,854,610,126,051 : x
  2. Step 2: Convert to fraction form
    852,286,652,175/1,854,610,126,051 = 1,854,610,126,051/x
  3. Step 3: Cross multiply
    852,286,652,175x = 1,854,610,126,051 × 1,854,610,126,051
  4. Step 4: Simplify right side
    852,286,652,175x = 3,439,578,719,650,906,040,696,832
  5. Step 5: Solve for x
    x = 3,439,578,719,650,906,040,696,832/852,286,652,175
  6. Step 6: Final answer
    x = 4,035,706,426,791.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.