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Finding the Third Proportional to 49,858,216 and 76,588,318

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Solution

The third proportional to 49,858,216 and 76,588,318 is: 117,649,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,858,216 : 76,588,318 = 76,588,318 : x
  2. Step 2: Convert to fraction form
    49,858,216/76,588,318 = 76,588,318/x
  3. Step 3: Cross multiply
    49,858,216x = 76,588,318 × 76,588,318
  4. Step 4: Simplify right side
    49,858,216x = 5,865,770,454,069,124
  5. Step 5: Solve for x
    x = 5,865,770,454,069,124/49,858,216
  6. Step 6: Final answer
    x = 117,649,024.07

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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.