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Finding the Third Proportional to 211,324,737 and 460,165,878

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Solution

The third proportional to 211,324,737 and 460,165,878 is: 1,002,024,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,324,737 : 460,165,878 = 460,165,878 : x
  2. Step 2: Convert to fraction form
    211,324,737/460,165,878 = 460,165,878/x
  3. Step 3: Cross multiply
    211,324,737x = 460,165,878 × 460,165,878
  4. Step 4: Simplify right side
    211,324,737x = 211,752,635,275,510,880
  5. Step 5: Solve for x
    x = 211,752,635,275,510,880/211,324,737
  6. Step 6: Final answer
    x = 1,002,024,837.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.