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Finding the Third Proportional to 3,696,931,073 and 8,220,443,170

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Solution

The third proportional to 3,696,931,073 and 8,220,443,170 is: 18,278,860,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696,931,073 : 8,220,443,170 = 8,220,443,170 : x
  2. Step 2: Convert to fraction form
    3,696,931,073/8,220,443,170 = 8,220,443,170/x
  3. Step 3: Cross multiply
    3,696,931,073x = 8,220,443,170 × 8,220,443,170
  4. Step 4: Simplify right side
    3,696,931,073x = 67,575,685,911,199,645,696
  5. Step 5: Solve for x
    x = 67,575,685,911,199,645,696/3,696,931,073
  6. Step 6: Final answer
    x = 18,278,860,107.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.