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Finding the Third Proportional to 39,296,446,211.25 and 85,478,036,121

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Solution

The third proportional to 39,296,446,211.25 and 85,478,036,121 is: 185,932,708,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296,446,211.25 : 85,478,036,121 = 85,478,036,121 : x
  2. Step 2: Convert to fraction form
    39,296,446,211.25/85,478,036,121 = 85,478,036,121/x
  3. Step 3: Cross multiply
    39,296,446,211.25x = 85,478,036,121 × 85,478,036,121
  4. Step 4: Simplify right side
    39,296,446,211.25x = 7,306,494,659,102,980,964,352
  5. Step 5: Solve for x
    x = 7,306,494,659,102,980,964,352/39,296,446,211.25
  6. Step 6: Final answer
    x = 185,932,708,006.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.