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Finding the Third Proportional to 401,673,422,608 and 873,951,380,258

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Solution

The third proportional to 401,673,422,608 and 873,951,380,258 is: 1,901,522,411,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,673,422,608 : 873,951,380,258 = 873,951,380,258 : x
  2. Step 2: Convert to fraction form
    401,673,422,608/873,951,380,258 = 873,951,380,258/x
  3. Step 3: Cross multiply
    401,673,422,608x = 873,951,380,258 × 873,951,380,258
  4. Step 4: Simplify right side
    401,673,422,608x = 763,791,015,054,863,300,034,560
  5. Step 5: Solve for x
    x = 763,791,015,054,863,300,034,560/401,673,422,608
  6. Step 6: Final answer
    x = 1,901,522,411,156.04

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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.