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Finding the Third Proportional to 2,288,761,992 and 4,943,417,760

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Solution

The third proportional to 2,288,761,992 and 4,943,417,760 is: 10,677,116,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,761,992 : 4,943,417,760 = 4,943,417,760 : x
  2. Step 2: Convert to fraction form
    2,288,761,992/4,943,417,760 = 4,943,417,760/x
  3. Step 3: Cross multiply
    2,288,761,992x = 4,943,417,760 × 4,943,417,760
  4. Step 4: Simplify right side
    2,288,761,992x = 24,437,379,149,883,416,576
  5. Step 5: Solve for x
    x = 24,437,379,149,883,416,576/2,288,761,992
  6. Step 6: Final answer
    x = 10,677,116,814.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.