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Finding the Third Proportional to 2,648,454,108 and 5,677,161,900

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Solution

The third proportional to 2,648,454,108 and 5,677,161,900 is: 12,169,426,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,454,108 : 5,677,161,900 = 5,677,161,900 : x
  2. Step 2: Convert to fraction form
    2,648,454,108/5,677,161,900 = 5,677,161,900/x
  3. Step 3: Cross multiply
    2,648,454,108x = 5,677,161,900 × 5,677,161,900
  4. Step 4: Simplify right side
    2,648,454,108x = 32,230,167,238,811,611,136
  5. Step 5: Solve for x
    x = 32,230,167,238,811,611,136/2,648,454,108
  6. Step 6: Final answer
    x = 12,169,426,361.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.