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Finding the Third Proportional to 49,942,571,228 and 72,158,390,944

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Solution

The third proportional to 49,942,571,228 and 72,158,390,944 is: 104,256,414,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,942,571,228 : 72,158,390,944 = 72,158,390,944 : x
  2. Step 2: Convert to fraction form
    49,942,571,228/72,158,390,944 = 72,158,390,944/x
  3. Step 3: Cross multiply
    49,942,571,228x = 72,158,390,944 × 72,158,390,944
  4. Step 4: Simplify right side
    49,942,571,228x = 5,206,833,383,627,141,677,056
  5. Step 5: Solve for x
    x = 5,206,833,383,627,141,677,056/49,942,571,228
  6. Step 6: Final answer
    x = 104,256,414,029.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.