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Finding the Third Proportional to 3,376,669,257 and 7,440,311,178

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Solution

The third proportional to 3,376,669,257 and 7,440,311,178 is: 16,394,330,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376,669,257 : 7,440,311,178 = 7,440,311,178 : x
  2. Step 2: Convert to fraction form
    3,376,669,257/7,440,311,178 = 7,440,311,178/x
  3. Step 3: Cross multiply
    3,376,669,257x = 7,440,311,178 × 7,440,311,178
  4. Step 4: Simplify right side
    3,376,669,257x = 55,358,230,425,471,746,048
  5. Step 5: Solve for x
    x = 55,358,230,425,471,746,048/3,376,669,257
  6. Step 6: Final answer
    x = 16,394,330,096.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.