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Finding the Third Proportional to 5,107,447,544.63 and 7,189,277,481.56

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Solution

The third proportional to 5,107,447,544.63 and 7,189,277,481.56 is: 10,119,675,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,447,544.63 : 7,189,277,481.56 = 7,189,277,481.56 : x
  2. Step 2: Convert to fraction form
    5,107,447,544.63/7,189,277,481.56 = 7,189,277,481.56/x
  3. Step 3: Cross multiply
    5,107,447,544.63x = 7,189,277,481.56 × 7,189,277,481.56
  4. Step 4: Simplify right side
    5,107,447,544.63x = 51,685,710,706,901,639,168
  5. Step 5: Solve for x
    x = 51,685,710,706,901,639,168/5,107,447,544.63
  6. Step 6: Final answer
    x = 10,119,675,288.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.