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Finding the Third Proportional to 4,747,042 and 7,355,119

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Solution

The third proportional to 4,747,042 and 7,355,119 is: 11,396,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747,042 : 7,355,119 = 7,355,119 : x
  2. Step 2: Convert to fraction form
    4,747,042/7,355,119 = 7,355,119/x
  3. Step 3: Cross multiply
    4,747,042x = 7,355,119 × 7,355,119
  4. Step 4: Simplify right side
    4,747,042x = 54,097,775,504,161
  5. Step 5: Solve for x
    x = 54,097,775,504,161/4,747,042
  6. Step 6: Final answer
    x = 11,396,102.14

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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.