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Finding the Third Proportional to 3,709,670,892 and 8,000,456,115

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Solution

The third proportional to 3,709,670,892 and 8,000,456,115 is: 17,254,171,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709,670,892 : 8,000,456,115 = 8,000,456,115 : x
  2. Step 2: Convert to fraction form
    3,709,670,892/8,000,456,115 = 8,000,456,115/x
  3. Step 3: Cross multiply
    3,709,670,892x = 8,000,456,115 × 8,000,456,115
  4. Step 4: Simplify right side
    3,709,670,892x = 64,007,298,048,040,894,464
  5. Step 5: Solve for x
    x = 64,007,298,048,040,894,464/3,709,670,892
  6. Step 6: Final answer
    x = 17,254,171,572.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.