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Finding the Third Proportional to 7,794,931,328 and 18,394,642,856

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Solution

The third proportional to 7,794,931,328 and 18,394,642,856 is: 43,408,065,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794,931,328 : 18,394,642,856 = 18,394,642,856 : x
  2. Step 2: Convert to fraction form
    7,794,931,328/18,394,642,856 = 18,394,642,856/x
  3. Step 3: Cross multiply
    7,794,931,328x = 18,394,642,856 × 18,394,642,856
  4. Step 4: Simplify right side
    7,794,931,328x = 338,362,885,799,791,820,800
  5. Step 5: Solve for x
    x = 338,362,885,799,791,820,800/7,794,931,328
  6. Step 6: Final answer
    x = 43,408,065,005.57

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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.