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Finding the Third Proportional to 4,421,016,966 and 9,587,971,756

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Solution

The third proportional to 4,421,016,966 and 9,587,971,756 is: 20,793,677,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421,016,966 : 9,587,971,756 = 9,587,971,756 : x
  2. Step 2: Convert to fraction form
    4,421,016,966/9,587,971,756 = 9,587,971,756/x
  3. Step 3: Cross multiply
    4,421,016,966x = 9,587,971,756 × 9,587,971,756
  4. Step 4: Simplify right side
    4,421,016,966x = 91,929,202,393,853,722,624
  5. Step 5: Solve for x
    x = 91,929,202,393,853,722,624/4,421,016,966
  6. Step 6: Final answer
    x = 20,793,677,812.33

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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.