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Finding the Third Proportional to 214,680,866 and 471,536,164

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Solution

The third proportional to 214,680,866 and 471,536,164 is: 1,035,706,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,680,866 : 471,536,164 = 471,536,164 : x
  2. Step 2: Convert to fraction form
    214,680,866/471,536,164 = 471,536,164/x
  3. Step 3: Cross multiply
    214,680,866x = 471,536,164 × 471,536,164
  4. Step 4: Simplify right side
    214,680,866x = 222,346,353,959,834,880
  5. Step 5: Solve for x
    x = 222,346,353,959,834,880/214,680,866
  6. Step 6: Final answer
    x = 1,035,706,433.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.