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Finding the Third Proportional to 120,540,784 and 261,630,647

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Solution

The third proportional to 120,540,784 and 261,630,647 is: 567,862,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540,784 : 261,630,647 = 261,630,647 : x
  2. Step 2: Convert to fraction form
    120,540,784/261,630,647 = 261,630,647/x
  3. Step 3: Cross multiply
    120,540,784x = 261,630,647 × 261,630,647
  4. Step 4: Simplify right side
    120,540,784x = 68,450,595,449,638,608
  5. Step 5: Solve for x
    x = 68,450,595,449,638,608/120,540,784
  6. Step 6: Final answer
    x = 567,862,537.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.