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Finding the Third Proportional to 49,858,249 and 76,588,373

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Solution

The third proportional to 49,858,249 and 76,588,373 is: 117,649,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,858,249 : 76,588,373 = 76,588,373 : x
  2. Step 2: Convert to fraction form
    49,858,249/76,588,373 = 76,588,373/x
  3. Step 3: Cross multiply
    49,858,249x = 76,588,373 × 76,588,373
  4. Step 4: Simplify right side
    49,858,249x = 5,865,778,878,787,129
  5. Step 5: Solve for x
    x = 5,865,778,878,787,129/49,858,249
  6. Step 6: Final answer
    x = 117,649,115.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.