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Finding the Third Proportional to 649,257,218 and 1,321,189,180

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Solution

The third proportional to 649,257,218 and 1,321,189,180 is: 2,688,519,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,257,218 : 1,321,189,180 = 1,321,189,180 : x
  2. Step 2: Convert to fraction form
    649,257,218/1,321,189,180 = 1,321,189,180/x
  3. Step 3: Cross multiply
    649,257,218x = 1,321,189,180 × 1,321,189,180
  4. Step 4: Simplify right side
    649,257,218x = 1,745,540,849,349,072,384
  5. Step 5: Solve for x
    x = 1,745,540,849,349,072,384/649,257,218
  6. Step 6: Final answer
    x = 2,688,519,743.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.