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Finding the Third Proportional to 807,190,807,486.50 and 1,135,259,863,260

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Solution

The third proportional to 807,190,807,486.50 and 1,135,259,863,260 is: 1,596,667,039,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,190,807,486.50 : 1,135,259,863,260 = 1,135,259,863,260 : x
  2. Step 2: Convert to fraction form
    807,190,807,486.50/1,135,259,863,260 = 1,135,259,863,260/x
  3. Step 3: Cross multiply
    807,190,807,486.50x = 1,135,259,863,260 × 1,135,259,863,260
  4. Step 4: Simplify right side
    807,190,807,486.50x = 1,288,814,957,129,113,981,157,376
  5. Step 5: Solve for x
    x = 1,288,814,957,129,113,981,157,376/807,190,807,486.50
  6. Step 6: Final answer
    x = 1,596,667,039,782.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.