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Finding the Third Proportional to 10,058,784 and 20,582,400

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Solution

The third proportional to 10,058,784 and 20,582,400 is: 42,115,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058,784 : 20,582,400 = 20,582,400 : x
  2. Step 2: Convert to fraction form
    10,058,784/20,582,400 = 20,582,400/x
  3. Step 3: Cross multiply
    10,058,784x = 20,582,400 × 20,582,400
  4. Step 4: Simplify right side
    10,058,784x = 423,635,189,760,000
  5. Step 5: Solve for x
    x = 423,635,189,760,000/10,058,784
  6. Step 6: Final answer
    x = 42,115,944.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.