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Finding the Third Proportional to 4,446,218,456 and 9,467,487,664

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Solution

The third proportional to 4,446,218,456 and 9,467,487,664 is: 20,159,450,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446,218,456 : 9,467,487,664 = 9,467,487,664 : x
  2. Step 2: Convert to fraction form
    4,446,218,456/9,467,487,664 = 9,467,487,664/x
  3. Step 3: Cross multiply
    4,446,218,456x = 9,467,487,664 × 9,467,487,664
  4. Step 4: Simplify right side
    4,446,218,456x = 89,633,322,667,992,170,496
  5. Step 5: Solve for x
    x = 89,633,322,667,992,170,496/4,446,218,456
  6. Step 6: Final answer
    x = 20,159,450,903.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.