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Finding the Third Proportional to 47,758,923 and 75,746,097

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Solution

The third proportional to 47,758,923 and 75,746,097 is: 120,134,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,758,923 : 75,746,097 = 75,746,097 : x
  2. Step 2: Convert to fraction form
    47,758,923/75,746,097 = 75,746,097/x
  3. Step 3: Cross multiply
    47,758,923x = 75,746,097 × 75,746,097
  4. Step 4: Simplify right side
    47,758,923x = 5,737,471,210,733,409
  5. Step 5: Solve for x
    x = 5,737,471,210,733,409/47,758,923
  6. Step 6: Final answer
    x = 120,134,015.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.