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Finding the Third Proportional to 10,833,659,512 and 15,256,179,896

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Solution

The third proportional to 10,833,659,512 and 15,256,179,896 is: 21,484,063,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833,659,512 : 15,256,179,896 = 15,256,179,896 : x
  2. Step 2: Convert to fraction form
    10,833,659,512/15,256,179,896 = 15,256,179,896/x
  3. Step 3: Cross multiply
    10,833,659,512x = 15,256,179,896 × 15,256,179,896
  4. Step 4: Simplify right side
    10,833,659,512x = 232,751,025,019,114,586,112
  5. Step 5: Solve for x
    x = 232,751,025,019,114,586,112/10,833,659,512
  6. Step 6: Final answer
    x = 21,484,063,142.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.