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Finding the Third Proportional to 966,267,531,676 and 2,102,182,800,680

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Solution

The third proportional to 966,267,531,676 and 2,102,182,800,680 is: 4,573,446,155,030.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,267,531,676 : 2,102,182,800,680 = 2,102,182,800,680 : x
  2. Step 2: Convert to fraction form
    966,267,531,676/2,102,182,800,680 = 2,102,182,800,680/x
  3. Step 3: Cross multiply
    966,267,531,676x = 2,102,182,800,680 × 2,102,182,800,680
  4. Step 4: Simplify right side
    966,267,531,676x = 4,419,172,527,474,808,371,281,920
  5. Step 5: Solve for x
    x = 4,419,172,527,474,808,371,281,920/966,267,531,676
  6. Step 6: Final answer
    x = 4,573,446,155,030.91

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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.