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Finding the Third Proportional to 5,947,515.56 and 9,463,666.44

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Solution

The third proportional to 5,947,515.56 and 9,463,666.44 is: 15,058,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947,515.56 : 9,463,666.44 = 9,463,666.44 : x
  2. Step 2: Convert to fraction form
    5,947,515.56/9,463,666.44 = 9,463,666.44/x
  3. Step 3: Cross multiply
    5,947,515.56x = 9,463,666.44 × 9,463,666.44
  4. Step 4: Simplify right side
    5,947,515.56x = 89,560,982,440,263.94
  5. Step 5: Solve for x
    x = 89,560,982,440,263.94/5,947,515.56
  6. Step 6: Final answer
    x = 15,058,553.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.