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Finding the Third Proportional to 2,660,418,979 and 3,741,701,298

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Solution

The third proportional to 2,660,418,979 and 3,741,701,298 is: 5,262,452,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,418,979 : 3,741,701,298 = 3,741,701,298 : x
  2. Step 2: Convert to fraction form
    2,660,418,979/3,741,701,298 = 3,741,701,298/x
  3. Step 3: Cross multiply
    2,660,418,979x = 3,741,701,298 × 3,741,701,298
  4. Step 4: Simplify right side
    2,660,418,979x = 14,000,328,603,454,883,840
  5. Step 5: Solve for x
    x = 14,000,328,603,454,883,840/2,660,418,979
  6. Step 6: Final answer
    x = 5,262,452,536.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.