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Finding the Third Proportional to 3,188,554,564 and 4,488,230,825

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Solution

The third proportional to 3,188,554,564 and 4,488,230,825 is: 6,317,663,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,554,564 : 4,488,230,825 = 4,488,230,825 : x
  2. Step 2: Convert to fraction form
    3,188,554,564/4,488,230,825 = 4,488,230,825/x
  3. Step 3: Cross multiply
    3,188,554,564x = 4,488,230,825 × 4,488,230,825
  4. Step 4: Simplify right side
    3,188,554,564x = 20,144,215,938,480,181,248
  5. Step 5: Solve for x
    x = 20,144,215,938,480,181,248/3,188,554,564
  6. Step 6: Final answer
    x = 6,317,663,861.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.