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Finding the Third Proportional to 5,117,777,800 and 7,862,899,962

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Solution

The third proportional to 5,117,777,800 and 7,862,899,962 is: 12,080,476,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117,777,800 : 7,862,899,962 = 7,862,899,962 : x
  2. Step 2: Convert to fraction form
    5,117,777,800/7,862,899,962 = 7,862,899,962/x
  3. Step 3: Cross multiply
    5,117,777,800x = 7,862,899,962 × 7,862,899,962
  4. Step 4: Simplify right side
    5,117,777,800x = 61,825,195,812,419,600,384
  5. Step 5: Solve for x
    x = 61,825,195,812,419,600,384/5,117,777,800
  6. Step 6: Final answer
    x = 12,080,476,767.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.