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Finding the Third Proportional to 3,181,504,796 and 6,913,715,344

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Solution

The third proportional to 3,181,504,796 and 6,913,715,344 is: 15,024,167,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181,504,796 : 6,913,715,344 = 6,913,715,344 : x
  2. Step 2: Convert to fraction form
    3,181,504,796/6,913,715,344 = 6,913,715,344/x
  3. Step 3: Cross multiply
    3,181,504,796x = 6,913,715,344 × 6,913,715,344
  4. Step 4: Simplify right side
    3,181,504,796x = 47,799,459,857,861,042,176
  5. Step 5: Solve for x
    x = 47,799,459,857,861,042,176/3,181,504,796
  6. Step 6: Final answer
    x = 15,024,167,154.47

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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.