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Finding the Third Proportional to 2,734,008,366 and 5,964,775,071

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Solution

The third proportional to 2,734,008,366 and 5,964,775,071 is: 13,013,325,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,008,366 : 5,964,775,071 = 5,964,775,071 : x
  2. Step 2: Convert to fraction form
    2,734,008,366/5,964,775,071 = 5,964,775,071/x
  3. Step 3: Cross multiply
    2,734,008,366x = 5,964,775,071 × 5,964,775,071
  4. Step 4: Simplify right side
    2,734,008,366x = 35,578,541,647,623,053,312
  5. Step 5: Solve for x
    x = 35,578,541,647,623,053,312/2,734,008,366
  6. Step 6: Final answer
    x = 13,013,325,814.97

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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.