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Finding the Third Proportional to 4,446,218,460 and 9,467,487,672

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Solution

The third proportional to 4,446,218,460 and 9,467,487,672 is: 20,159,450,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446,218,460 : 9,467,487,672 = 9,467,487,672 : x
  2. Step 2: Convert to fraction form
    4,446,218,460/9,467,487,672 = 9,467,487,672/x
  3. Step 3: Cross multiply
    4,446,218,460x = 9,467,487,672 × 9,467,487,672
  4. Step 4: Simplify right side
    4,446,218,460x = 89,633,322,819,471,982,592
  5. Step 5: Solve for x
    x = 89,633,322,819,471,982,592/4,446,218,460
  6. Step 6: Final answer
    x = 20,159,450,918.99

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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.