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Finding the Third Proportional to 4,028,559,910 and 8,669,340,040

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Solution

The third proportional to 4,028,559,910 and 8,669,340,040 is: 18,656,159,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028,559,910 : 8,669,340,040 = 8,669,340,040 : x
  2. Step 2: Convert to fraction form
    4,028,559,910/8,669,340,040 = 8,669,340,040/x
  3. Step 3: Cross multiply
    4,028,559,910x = 8,669,340,040 × 8,669,340,040
  4. Step 4: Simplify right side
    4,028,559,910x = 75,157,456,729,147,195,392
  5. Step 5: Solve for x
    x = 75,157,456,729,147,195,392/4,028,559,910
  6. Step 6: Final answer
    x = 18,656,159,622.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.