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Finding the Third Proportional to 57,747,938 and 128,407,357

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Solution

The third proportional to 57,747,938 and 128,407,357 is: 285,524,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747,938 : 128,407,357 = 128,407,357 : x
  2. Step 2: Convert to fraction form
    57,747,938/128,407,357 = 128,407,357/x
  3. Step 3: Cross multiply
    57,747,938x = 128,407,357 × 128,407,357
  4. Step 4: Simplify right side
    57,747,938x = 16,488,449,331,725,448
  5. Step 5: Solve for x
    x = 16,488,449,331,725,448/57,747,938
  6. Step 6: Final answer
    x = 285,524,468.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.