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Finding the Third Proportional to 48,848,316 and 75,568,015

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Solution

The third proportional to 48,848,316 and 75,568,015 is: 116,903,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,848,316 : 75,568,015 = 75,568,015 : x
  2. Step 2: Convert to fraction form
    48,848,316/75,568,015 = 75,568,015/x
  3. Step 3: Cross multiply
    48,848,316x = 75,568,015 × 75,568,015
  4. Step 4: Simplify right side
    48,848,316x = 5,710,524,891,040,225
  5. Step 5: Solve for x
    x = 5,710,524,891,040,225/48,848,316
  6. Step 6: Final answer
    x = 116,903,208.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.