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Finding the Third Proportional to 3,376,669,323 and 7,440,311,310

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Solution

The third proportional to 3,376,669,323 and 7,440,311,310 is: 16,394,330,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376,669,323 : 7,440,311,310 = 7,440,311,310 : x
  2. Step 2: Convert to fraction form
    3,376,669,323/7,440,311,310 = 7,440,311,310/x
  3. Step 3: Cross multiply
    3,376,669,323x = 7,440,311,310 × 7,440,311,310
  4. Step 4: Simplify right side
    3,376,669,323x = 55,358,232,389,713,920,000
  5. Step 5: Solve for x
    x = 55,358,232,389,713,920,000/3,376,669,323
  6. Step 6: Final answer
    x = 16,394,330,357.62

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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.