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Finding the Third Proportional to 2,782,253,169 and 6,000,342,086.25

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Solution

The third proportional to 2,782,253,169 and 6,000,342,086.25 is: 12,940,628,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,253,169 : 6,000,342,086.25 = 6,000,342,086.25 : x
  2. Step 2: Convert to fraction form
    2,782,253,169/6,000,342,086.25 = 6,000,342,086.25/x
  3. Step 3: Cross multiply
    2,782,253,169x = 6,000,342,086.25 × 6,000,342,086.25
  4. Step 4: Simplify right side
    2,782,253,169x = 36,004,105,152,023,003,136
  5. Step 5: Solve for x
    x = 36,004,105,152,023,003,136/2,782,253,169
  6. Step 6: Final answer
    x = 12,940,628,679.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.