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Finding the Third Proportional to 534,199,089 and 1,177,079,400

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Solution

The third proportional to 534,199,089 and 1,177,079,400 is: 2,593,632,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,199,089 : 1,177,079,400 = 1,177,079,400 : x
  2. Step 2: Convert to fraction form
    534,199,089/1,177,079,400 = 1,177,079,400/x
  3. Step 3: Cross multiply
    534,199,089x = 1,177,079,400 × 1,177,079,400
  4. Step 4: Simplify right side
    534,199,089x = 1,385,515,913,904,359,936
  5. Step 5: Solve for x
    x = 1,385,515,913,904,359,936/534,199,089
  6. Step 6: Final answer
    x = 2,593,632,116.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.