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Finding the Third Proportional to 11,957,079,200 and 25,688,627,440

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Solution

The third proportional to 11,957,079,200 and 25,688,627,440 is: 55,189,529,877.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957,079,200 : 25,688,627,440 = 25,688,627,440 : x
  2. Step 2: Convert to fraction form
    11,957,079,200/25,688,627,440 = 25,688,627,440/x
  3. Step 3: Cross multiply
    11,957,079,200x = 25,688,627,440 × 25,688,627,440
  4. Step 4: Simplify right side
    11,957,079,200x = 659,905,579,751,120,961,536
  5. Step 5: Solve for x
    x = 659,905,579,751,120,961,536/11,957,079,200
  6. Step 6: Final answer
    x = 55,189,529,877.09

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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.