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Finding the Third Proportional to 3,875,928,664 and 8,502,245,456

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Solution

The third proportional to 3,875,928,664 and 8,502,245,456 is: 18,650,543,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875,928,664 : 8,502,245,456 = 8,502,245,456 : x
  2. Step 2: Convert to fraction form
    3,875,928,664/8,502,245,456 = 8,502,245,456/x
  3. Step 3: Cross multiply
    3,875,928,664x = 8,502,245,456 × 8,502,245,456
  4. Step 4: Simplify right side
    3,875,928,664x = 72,288,177,794,072,649,728
  5. Step 5: Solve for x
    x = 72,288,177,794,072,649,728/3,875,928,664
  6. Step 6: Final answer
    x = 18,650,543,923.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.