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Finding the Third Proportional to 748,320,570,295 and 1,536,311,793,998

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Solution

The third proportional to 748,320,570,295 and 1,536,311,793,998 is: 3,154,067,951,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,320,570,295 : 1,536,311,793,998 = 1,536,311,793,998 : x
  2. Step 2: Convert to fraction form
    748,320,570,295/1,536,311,793,998 = 1,536,311,793,998/x
  3. Step 3: Cross multiply
    748,320,570,295x = 1,536,311,793,998 × 1,536,311,793,998
  4. Step 4: Simplify right side
    748,320,570,295x = 2,360,253,928,377,353,135,718,400
  5. Step 5: Solve for x
    x = 2,360,253,928,377,353,135,718,400/748,320,570,295
  6. Step 6: Final answer
    x = 3,154,067,951,716.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.