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Finding the Third Proportional to 56,073,141,584 and 120,650,810,512

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Solution

The third proportional to 56,073,141,584 and 120,650,810,512 is: 259,600,544,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,073,141,584 : 120,650,810,512 = 120,650,810,512 : x
  2. Step 2: Convert to fraction form
    56,073,141,584/120,650,810,512 = 120,650,810,512/x
  3. Step 3: Cross multiply
    56,073,141,584x = 120,650,810,512 × 120,650,810,512
  4. Step 4: Simplify right side
    56,073,141,584x = 14,556,618,077,202,529,910,784
  5. Step 5: Solve for x
    x = 14,556,618,077,202,529,910,784/56,073,141,584
  6. Step 6: Final answer
    x = 259,600,544,324.70

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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.