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Finding the Third Proportional to 509,595,129,589 and 763,647,259,663

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Solution

The third proportional to 509,595,129,589 and 763,647,259,663 is: 1,144,353,827,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,595,129,589 : 763,647,259,663 = 763,647,259,663 : x
  2. Step 2: Convert to fraction form
    509,595,129,589/763,647,259,663 = 763,647,259,663/x
  3. Step 3: Cross multiply
    509,595,129,589x = 763,647,259,663 × 763,647,259,663
  4. Step 4: Simplify right side
    509,595,129,589x = 583,157,137,190,809,342,312,448
  5. Step 5: Solve for x
    x = 583,157,137,190,809,342,312,448/509,595,129,589
  6. Step 6: Final answer
    x = 1,144,353,827,834.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.