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Finding the Third Proportional to 3,696,931,071 and 8,220,443,166

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Solution

The third proportional to 3,696,931,071 and 8,220,443,166 is: 18,278,860,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696,931,071 : 8,220,443,166 = 8,220,443,166 : x
  2. Step 2: Convert to fraction form
    3,696,931,071/8,220,443,166 = 8,220,443,166/x
  3. Step 3: Cross multiply
    3,696,931,071x = 8,220,443,166 × 8,220,443,166
  4. Step 4: Simplify right side
    3,696,931,071x = 67,575,685,845,436,104,704
  5. Step 5: Solve for x
    x = 67,575,685,845,436,104,704/3,696,931,071
  6. Step 6: Final answer
    x = 18,278,860,099.81

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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.