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Finding the Third Proportional to 219,420,916 and 471,863,912

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Solution

The third proportional to 219,420,916 and 471,863,912 is: 1,014,741,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,420,916 : 471,863,912 = 471,863,912 : x
  2. Step 2: Convert to fraction form
    219,420,916/471,863,912 = 471,863,912/x
  3. Step 3: Cross multiply
    219,420,916x = 471,863,912 × 471,863,912
  4. Step 4: Simplify right side
    219,420,916x = 222,655,551,447,943,744
  5. Step 5: Solve for x
    x = 222,655,551,447,943,744/219,420,916
  6. Step 6: Final answer
    x = 1,014,741,691.48

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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.