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Finding the Third Proportional to 3,215,642,071 and 6,965,500,449

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Solution

The third proportional to 3,215,642,071 and 6,965,500,449 is: 15,088,183,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,642,071 : 6,965,500,449 = 6,965,500,449 : x
  2. Step 2: Convert to fraction form
    3,215,642,071/6,965,500,449 = 6,965,500,449/x
  3. Step 3: Cross multiply
    3,215,642,071x = 6,965,500,449 × 6,965,500,449
  4. Step 4: Simplify right side
    3,215,642,071x = 48,518,196,505,019,203,584
  5. Step 5: Solve for x
    x = 48,518,196,505,019,203,584/3,215,642,071
  6. Step 6: Final answer
    x = 15,088,183,147.80

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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.