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Finding the Third Proportional to 775,791,018 and 1,723,769,172

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Solution

The third proportional to 775,791,018 and 1,723,769,172 is: 3,830,129,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,791,018 : 1,723,769,172 = 1,723,769,172 : x
  2. Step 2: Convert to fraction form
    775,791,018/1,723,769,172 = 1,723,769,172/x
  3. Step 3: Cross multiply
    775,791,018x = 1,723,769,172 × 1,723,769,172
  4. Step 4: Simplify right side
    775,791,018x = 2,971,380,158,337,565,696
  5. Step 5: Solve for x
    x = 2,971,380,158,337,565,696/775,791,018
  6. Step 6: Final answer
    x = 3,830,129,621.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.