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Finding the Third Proportional to 7,794,931,320 and 18,394,642,836

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Solution

The third proportional to 7,794,931,320 and 18,394,642,836 is: 43,408,064,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794,931,320 : 18,394,642,836 = 18,394,642,836 : x
  2. Step 2: Convert to fraction form
    7,794,931,320/18,394,642,836 = 18,394,642,836/x
  3. Step 3: Cross multiply
    7,794,931,320x = 18,394,642,836 × 18,394,642,836
  4. Step 4: Simplify right side
    7,794,931,320x = 338,362,885,064,006,107,136
  5. Step 5: Solve for x
    x = 338,362,885,064,006,107,136/7,794,931,320
  6. Step 6: Final answer
    x = 43,408,064,955.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.