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Finding the Third Proportional to 966,267,531,678 and 2,102,182,800,684

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Solution

The third proportional to 966,267,531,678 and 2,102,182,800,684 is: 4,573,446,155,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,267,531,678 : 2,102,182,800,684 = 2,102,182,800,684 : x
  2. Step 2: Convert to fraction form
    966,267,531,678/2,102,182,800,684 = 2,102,182,800,684/x
  3. Step 3: Cross multiply
    966,267,531,678x = 2,102,182,800,684 × 2,102,182,800,684
  4. Step 4: Simplify right side
    966,267,531,678x = 4,419,172,527,491,625,852,600,320
  5. Step 5: Solve for x
    x = 4,419,172,527,491,625,852,600,320/966,267,531,678
  6. Step 6: Final answer
    x = 4,573,446,155,038.85

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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.