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Finding the Third Proportional to 4,823,463,106 and 10,448,250,667

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Solution

The third proportional to 4,823,463,106 and 10,448,250,667 is: 22,632,274,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823,463,106 : 10,448,250,667 = 10,448,250,667 : x
  2. Step 2: Convert to fraction form
    4,823,463,106/10,448,250,667 = 10,448,250,667/x
  3. Step 3: Cross multiply
    4,823,463,106x = 10,448,250,667 × 10,448,250,667
  4. Step 4: Simplify right side
    4,823,463,106x = 109,165,942,000,465,952,768
  5. Step 5: Solve for x
    x = 109,165,942,000,465,952,768/4,823,463,106
  6. Step 6: Final answer
    x = 22,632,274,695.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.