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Finding the Third Proportional to 1,505,489,808 and 3,134,700,168

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Solution

The third proportional to 1,505,489,808 and 3,134,700,168 is: 6,527,008,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,489,808 : 3,134,700,168 = 3,134,700,168 : x
  2. Step 2: Convert to fraction form
    1,505,489,808/3,134,700,168 = 3,134,700,168/x
  3. Step 3: Cross multiply
    1,505,489,808x = 3,134,700,168 × 3,134,700,168
  4. Step 4: Simplify right side
    1,505,489,808x = 9,826,345,143,259,228,160
  5. Step 5: Solve for x
    x = 9,826,345,143,259,228,160/1,505,489,808
  6. Step 6: Final answer
    x = 6,527,008,745.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.