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Finding the Third Proportional to 1,505,489,814 and 3,134,700,180

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Solution

The third proportional to 1,505,489,814 and 3,134,700,180 is: 6,527,008,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,489,814 : 3,134,700,180 = 3,134,700,180 : x
  2. Step 2: Convert to fraction form
    1,505,489,814/3,134,700,180 = 3,134,700,180/x
  3. Step 3: Cross multiply
    1,505,489,814x = 3,134,700,180 × 3,134,700,180
  4. Step 4: Simplify right side
    1,505,489,814x = 9,826,345,218,492,033,024
  5. Step 5: Solve for x
    x = 9,826,345,218,492,033,024/1,505,489,814
  6. Step 6: Final answer
    x = 6,527,008,769.58

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