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Finding the Third Proportional to 2,566,359,202,809 and 5,505,267,377,029.60

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Solution

The third proportional to 2,566,359,202,809 and 5,505,267,377,029.60 is: 11,809,714,267,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,359,202,809 : 5,505,267,377,029.60 = 5,505,267,377,029.60 : x
  2. Step 2: Convert to fraction form
    2,566,359,202,809/5,505,267,377,029.60 = 5,505,267,377,029.60/x
  3. Step 3: Cross multiply
    2,566,359,202,809x = 5,505,267,377,029.60 × 5,505,267,377,029.60
  4. Step 4: Simplify right side
    2,566,359,202,809x = 30,307,968,892,586,366,423,007,232
  5. Step 5: Solve for x
    x = 30,307,968,892,586,366,423,007,232/2,566,359,202,809
  6. Step 6: Final answer
    x = 11,809,714,267,360.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.