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Finding the Third Proportional to 2,734,008,369 and 5,964,775,077

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Solution

The third proportional to 2,734,008,369 and 5,964,775,077 is: 13,013,325,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,008,369 : 5,964,775,077 = 5,964,775,077 : x
  2. Step 2: Convert to fraction form
    2,734,008,369/5,964,775,077 = 5,964,775,077/x
  3. Step 3: Cross multiply
    2,734,008,369x = 5,964,775,077 × 5,964,775,077
  4. Step 4: Simplify right side
    2,734,008,369x = 35,578,541,719,200,354,304
  5. Step 5: Solve for x
    x = 35,578,541,719,200,354,304/2,734,008,369
  6. Step 6: Final answer
    x = 13,013,325,826.88

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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.