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Finding the Third Proportional to 4,516,516,976 and 9,783,673,532

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Solution

The third proportional to 4,516,516,976 and 9,783,673,532 is: 21,193,381,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516,516,976 : 9,783,673,532 = 9,783,673,532 : x
  2. Step 2: Convert to fraction form
    4,516,516,976/9,783,673,532 = 9,783,673,532/x
  3. Step 3: Cross multiply
    4,516,516,976x = 9,783,673,532 × 9,783,673,532
  4. Step 4: Simplify right side
    4,516,516,976x = 95,720,267,780,757,356,544
  5. Step 5: Solve for x
    x = 95,720,267,780,757,356,544/4,516,516,976
  6. Step 6: Final answer
    x = 21,193,381,601.22

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Why These Related Problems?

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