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Finding the Third Proportional to 7,410,906.74 and 16,058,720.50

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Solution

The third proportional to 7,410,906.74 and 16,058,720.50 is: 34,797,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410,906.74 : 16,058,720.50 = 16,058,720.50 : x
  2. Step 2: Convert to fraction form
    7,410,906.74/16,058,720.50 = 16,058,720.50/x
  3. Step 3: Cross multiply
    7,410,906.74x = 16,058,720.50 × 16,058,720.50
  4. Step 4: Simplify right side
    7,410,906.74x = 257,882,503,971,669.50
  5. Step 5: Solve for x
    x = 257,882,503,971,669.50/7,410,906.74
  6. Step 6: Final answer
    x = 34,797,699.27

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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.