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Finding the Third Proportional to 9,645,958,532 and 20,894,776,861

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Solution

The third proportional to 9,645,958,532 and 20,894,776,861 is: 45,261,619,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645,958,532 : 20,894,776,861 = 20,894,776,861 : x
  2. Step 2: Convert to fraction form
    9,645,958,532/20,894,776,861 = 20,894,776,861/x
  3. Step 3: Cross multiply
    9,645,958,532x = 20,894,776,861 × 20,894,776,861
  4. Step 4: Simplify right side
    9,645,958,532x = 436,591,700,070,981,042,176
  5. Step 5: Solve for x
    x = 436,591,700,070,981,042,176/9,645,958,532
  6. Step 6: Final answer
    x = 45,261,619,010.97

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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.