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Finding the Third Proportional to 312,665,714 and 416,840,163

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Solution

The third proportional to 312,665,714 and 416,840,163 is: 555,723,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,665,714 : 416,840,163 = 416,840,163 : x
  2. Step 2: Convert to fraction form
    312,665,714/416,840,163 = 416,840,163/x
  3. Step 3: Cross multiply
    312,665,714x = 416,840,163 × 416,840,163
  4. Step 4: Simplify right side
    312,665,714x = 173,755,721,489,866,560
  5. Step 5: Solve for x
    x = 173,755,721,489,866,560/312,665,714
  6. Step 6: Final answer
    x = 555,723,616.98

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.