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Finding the Third Proportional to 230,859,676,420 and 496,462,940,300

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Solution

The third proportional to 230,859,676,420 and 496,462,940,300 is: 1,067,641,845,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,859,676,420 : 496,462,940,300 = 496,462,940,300 : x
  2. Step 2: Convert to fraction form
    230,859,676,420/496,462,940,300 = 496,462,940,300/x
  3. Step 3: Cross multiply
    230,859,676,420x = 496,462,940,300 × 496,462,940,300
  4. Step 4: Simplify right side
    230,859,676,420x = 246,475,451,091,321,373,065,216
  5. Step 5: Solve for x
    x = 246,475,451,091,321,373,065,216/230,859,676,420
  6. Step 6: Final answer
    x = 1,067,641,845,962.36

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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.