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Finding the Third Proportional to 5,325,911,420 and 11,578,826,188

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Solution

The third proportional to 5,325,911,420 and 11,578,826,188 is: 25,173,008,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325,911,420 : 11,578,826,188 = 11,578,826,188 : x
  2. Step 2: Convert to fraction form
    5,325,911,420/11,578,826,188 = 11,578,826,188/x
  3. Step 3: Cross multiply
    5,325,911,420x = 11,578,826,188 × 11,578,826,188
  4. Step 4: Simplify right side
    5,325,911,420x = 134,069,215,891,914,604,544
  5. Step 5: Solve for x
    x = 134,069,215,891,914,604,544/5,325,911,420
  6. Step 6: Final answer
    x = 25,173,008,959.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.