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Finding the Third Proportional to 489,770,014.50 and 1,065,630,186

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Solution

The third proportional to 489,770,014.50 and 1,065,630,186 is: 2,318,573,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,770,014.50 : 1,065,630,186 = 1,065,630,186 : x
  2. Step 2: Convert to fraction form
    489,770,014.50/1,065,630,186 = 1,065,630,186/x
  3. Step 3: Cross multiply
    489,770,014.50x = 1,065,630,186 × 1,065,630,186
  4. Step 4: Simplify right side
    489,770,014.50x = 1,135,567,693,314,394,624
  5. Step 5: Solve for x
    x = 1,135,567,693,314,394,624/489,770,014.50
  6. Step 6: Final answer
    x = 2,318,573,329.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.