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Finding the Third Proportional to 902,455,535,016 and 1,365,290,117,244

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Solution

The third proportional to 902,455,535,016 and 1,365,290,117,244 is: 2,065,494,677,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,455,535,016 : 1,365,290,117,244 = 1,365,290,117,244 : x
  2. Step 2: Convert to fraction form
    902,455,535,016/1,365,290,117,244 = 1,365,290,117,244/x
  3. Step 3: Cross multiply
    902,455,535,016x = 1,365,290,117,244 × 1,365,290,117,244
  4. Step 4: Simplify right side
    902,455,535,016x = 1,864,017,104,244,135,147,077,632
  5. Step 5: Solve for x
    x = 1,864,017,104,244,135,147,077,632/902,455,535,016
  6. Step 6: Final answer
    x = 2,065,494,677,486.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.