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Finding the Third Proportional to 5,996,768.87 and 8,770,259.18

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Solution

The third proportional to 5,996,768.87 and 8,770,259.18 is: 12,826,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996,768.87 : 8,770,259.18 = 8,770,259.18 : x
  2. Step 2: Convert to fraction form
    5,996,768.87/8,770,259.18 = 8,770,259.18/x
  3. Step 3: Cross multiply
    5,996,768.87x = 8,770,259.18 × 8,770,259.18
  4. Step 4: Simplify right side
    5,996,768.87x = 76,917,446,078,892.86
  5. Step 5: Solve for x
    x = 76,917,446,078,892.86/5,996,768.87
  6. Step 6: Final answer
    x = 12,826,481.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.