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Finding the Third Proportional to 1,505,489,816 and 3,134,700,184

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Solution

The third proportional to 1,505,489,816 and 3,134,700,184 is: 6,527,008,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,489,816 : 3,134,700,184 = 3,134,700,184 : x
  2. Step 2: Convert to fraction form
    1,505,489,816/3,134,700,184 = 3,134,700,184/x
  3. Step 3: Cross multiply
    1,505,489,816x = 3,134,700,184 × 3,134,700,184
  4. Step 4: Simplify right side
    1,505,489,816x = 9,826,345,243,569,633,280
  5. Step 5: Solve for x
    x = 9,826,345,243,569,633,280/1,505,489,816
  6. Step 6: Final answer
    x = 6,527,008,777.57

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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.