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Finding the Third Proportional to 6,485,116,168 and 13,150,688,312

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Solution

The third proportional to 6,485,116,168 and 13,150,688,312 is: 26,667,309,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,116,168 : 13,150,688,312 = 13,150,688,312 : x
  2. Step 2: Convert to fraction form
    6,485,116,168/13,150,688,312 = 13,150,688,312/x
  3. Step 3: Cross multiply
    6,485,116,168x = 13,150,688,312 × 13,150,688,312
  4. Step 4: Simplify right side
    6,485,116,168x = 172,940,603,079,373,422,592
  5. Step 5: Solve for x
    x = 172,940,603,079,373,422,592/6,485,116,168
  6. Step 6: Final answer
    x = 26,667,309,975.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.