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Finding the Third Proportional to 7,887,761.44 and 11,883,548.81

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Solution

The third proportional to 7,887,761.44 and 11,883,548.81 is: 17,903,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887,761.44 : 11,883,548.81 = 11,883,548.81 : x
  2. Step 2: Convert to fraction form
    7,887,761.44/11,883,548.81 = 11,883,548.81/x
  3. Step 3: Cross multiply
    7,887,761.44x = 11,883,548.81 × 11,883,548.81
  4. Step 4: Simplify right side
    7,887,761.44x = 141,218,732,379,070.16
  5. Step 5: Solve for x
    x = 141,218,732,379,070.16/7,887,761.44
  6. Step 6: Final answer
    x = 17,903,524.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.