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Finding the Third Proportional to 902,455,535,022 and 1,365,290,117,253

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Solution

The third proportional to 902,455,535,022 and 1,365,290,117,253 is: 2,065,494,677,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,455,535,022 : 1,365,290,117,253 = 1,365,290,117,253 : x
  2. Step 2: Convert to fraction form
    902,455,535,022/1,365,290,117,253 = 1,365,290,117,253/x
  3. Step 3: Cross multiply
    902,455,535,022x = 1,365,290,117,253 × 1,365,290,117,253
  4. Step 4: Simplify right side
    902,455,535,022x = 1,864,017,104,268,710,413,074,432
  5. Step 5: Solve for x
    x = 1,864,017,104,268,710,413,074,432/902,455,535,022
  6. Step 6: Final answer
    x = 2,065,494,677,500.39

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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.