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Finding the Third Proportional to 7,427,087,505 and 11,111,184,252

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Solution

The third proportional to 7,427,087,505 and 11,111,184,252 is: 16,622,722,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427,087,505 : 11,111,184,252 = 11,111,184,252 : x
  2. Step 2: Convert to fraction form
    7,427,087,505/11,111,184,252 = 11,111,184,252/x
  3. Step 3: Cross multiply
    7,427,087,505x = 11,111,184,252 × 11,111,184,252
  4. Step 4: Simplify right side
    7,427,087,505x = 123,458,415,481,892,798,464
  5. Step 5: Solve for x
    x = 123,458,415,481,892,798,464/7,427,087,505
  6. Step 6: Final answer
    x = 16,622,722,621.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.