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Finding the Third Proportional to 5,564,511,666 and 12,000,694,815

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Solution

The third proportional to 5,564,511,666 and 12,000,694,815 is: 25,881,278,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564,511,666 : 12,000,694,815 = 12,000,694,815 : x
  2. Step 2: Convert to fraction form
    5,564,511,666/12,000,694,815 = 12,000,694,815/x
  3. Step 3: Cross multiply
    5,564,511,666x = 12,000,694,815 × 12,000,694,815
  4. Step 4: Simplify right side
    5,564,511,666x = 144,016,676,042,767,876,096
  5. Step 5: Solve for x
    x = 144,016,676,042,767,876,096/5,564,511,666
  6. Step 6: Final answer
    x = 25,881,278,481.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.