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Finding the Third Proportional to 966,267,531,675 and 2,102,182,800,678

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Solution

The third proportional to 966,267,531,675 and 2,102,182,800,678 is: 4,573,446,155,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,267,531,675 : 2,102,182,800,678 = 2,102,182,800,678 : x
  2. Step 2: Convert to fraction form
    966,267,531,675/2,102,182,800,678 = 2,102,182,800,678/x
  3. Step 3: Cross multiply
    966,267,531,675x = 2,102,182,800,678 × 2,102,182,800,678
  4. Step 4: Simplify right side
    966,267,531,675x = 4,419,172,527,466,399,899,058,176
  5. Step 5: Solve for x
    x = 4,419,172,527,466,399,899,058,176/966,267,531,675
  6. Step 6: Final answer
    x = 4,573,446,155,026.94

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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.