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Finding the Third Proportional to 966,267,531,666.83 and 2,102,182,800,659.80

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Solution

The third proportional to 966,267,531,666.83 and 2,102,182,800,659.80 is: 4,573,446,154,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,267,531,666.83 : 2,102,182,800,659.80 = 2,102,182,800,659.80 : x
  2. Step 2: Convert to fraction form
    966,267,531,666.83/2,102,182,800,659.80 = 2,102,182,800,659.80/x
  3. Step 3: Cross multiply
    966,267,531,666.83x = 2,102,182,800,659.80 × 2,102,182,800,659.80
  4. Step 4: Simplify right side
    966,267,531,666.83x = 4,419,172,527,389,880,761,712,640
  5. Step 5: Solve for x
    x = 4,419,172,527,389,880,761,712,640/966,267,531,666.83
  6. Step 6: Final answer
    x = 4,573,446,154,986.42

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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.