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Finding the Third Proportional to 219,420,936 and 471,863,952

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Solution

The third proportional to 219,420,936 and 471,863,952 is: 1,014,741,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,420,936 : 471,863,952 = 471,863,952 : x
  2. Step 2: Convert to fraction form
    219,420,936/471,863,952 = 471,863,952/x
  3. Step 3: Cross multiply
    219,420,936x = 471,863,952 × 471,863,952
  4. Step 4: Simplify right side
    219,420,936x = 222,655,589,197,058,304
  5. Step 5: Solve for x
    x = 222,655,589,197,058,304/219,420,936
  6. Step 6: Final answer
    x = 1,014,741,771.03

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