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Finding the Third Proportional to 230,859,676,430 and 496,462,940,319

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Solution

The third proportional to 230,859,676,430 and 496,462,940,319 is: 1,067,641,845,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,859,676,430 : 496,462,940,319 = 496,462,940,319 : x
  2. Step 2: Convert to fraction form
    230,859,676,430/496,462,940,319 = 496,462,940,319/x
  3. Step 3: Cross multiply
    230,859,676,430x = 496,462,940,319 × 496,462,940,319
  4. Step 4: Simplify right side
    230,859,676,430x = 246,475,451,110,186,949,804,032
  5. Step 5: Solve for x
    x = 246,475,451,110,186,949,804,032/230,859,676,430
  6. Step 6: Final answer
    x = 1,067,641,845,997.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.