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Finding the Third Proportional to 219,420,920 and 471,863,920

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Solution

The third proportional to 219,420,920 and 471,863,920 is: 1,014,741,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,420,920 : 471,863,920 = 471,863,920 : x
  2. Step 2: Convert to fraction form
    219,420,920/471,863,920 = 471,863,920/x
  3. Step 3: Cross multiply
    219,420,920x = 471,863,920 × 471,863,920
  4. Step 4: Simplify right side
    219,420,920x = 222,655,558,997,766,400
  5. Step 5: Solve for x
    x = 222,655,558,997,766,400/219,420,920
  6. Step 6: Final answer
    x = 1,014,741,707.39

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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.