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Finding the Third Proportional to 3,215,319,608 and 6,964,925,836

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Solution

The third proportional to 3,215,319,608 and 6,964,925,836 is: 15,087,206,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,319,608 : 6,964,925,836 = 6,964,925,836 : x
  2. Step 2: Convert to fraction form
    3,215,319,608/6,964,925,836 = 6,964,925,836/x
  3. Step 3: Cross multiply
    3,215,319,608x = 6,964,925,836 × 6,964,925,836
  4. Step 4: Simplify right side
    3,215,319,608x = 48,510,191,900,980,297,728
  5. Step 5: Solve for x
    x = 48,510,191,900,980,297,728/3,215,319,608
  6. Step 6: Final answer
    x = 15,087,206,814.61

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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.