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Finding the Third Proportional to 2,557,989,912 and 5,566,410,126

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Solution

The third proportional to 2,557,989,912 and 5,566,410,126 is: 12,112,996,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,989,912 : 5,566,410,126 = 5,566,410,126 : x
  2. Step 2: Convert to fraction form
    2,557,989,912/5,566,410,126 = 5,566,410,126/x
  3. Step 3: Cross multiply
    2,557,989,912x = 5,566,410,126 × 5,566,410,126
  4. Step 4: Simplify right side
    2,557,989,912x = 30,984,921,690,835,337,216
  5. Step 5: Solve for x
    x = 30,984,921,690,835,337,216/2,557,989,912
  6. Step 6: Final answer
    x = 12,112,996,046.42

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Why These Related Problems?

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