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Finding the Third Proportional to 2,557,989,906 and 5,566,410,114

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Solution

The third proportional to 2,557,989,906 and 5,566,410,114 is: 12,112,996,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,989,906 : 5,566,410,114 = 5,566,410,114 : x
  2. Step 2: Convert to fraction form
    2,557,989,906/5,566,410,114 = 5,566,410,114/x
  3. Step 3: Cross multiply
    2,557,989,906x = 5,566,410,114 × 5,566,410,114
  4. Step 4: Simplify right side
    2,557,989,906x = 30,984,921,557,241,491,456
  5. Step 5: Solve for x
    x = 30,984,921,557,241,491,456/2,557,989,906
  6. Step 6: Final answer
    x = 12,112,996,022.60

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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.