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Finding the Third Proportional to 310,211,505 and 672,122,826

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Solution

The third proportional to 310,211,505 and 672,122,826 is: 1,456,261,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,211,505 : 672,122,826 = 672,122,826 : x
  2. Step 2: Convert to fraction form
    310,211,505/672,122,826 = 672,122,826/x
  3. Step 3: Cross multiply
    310,211,505x = 672,122,826 × 672,122,826
  4. Step 4: Simplify right side
    310,211,505x = 451,749,093,230,226,304
  5. Step 5: Solve for x
    x = 451,749,093,230,226,304/310,211,505
  6. Step 6: Final answer
    x = 1,456,261,569.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.