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Finding the Third Proportional to 2,566,359,202,767 and 5,505,267,376,945.50

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Solution

The third proportional to 2,566,359,202,767 and 5,505,267,376,945.50 is: 11,809,714,267,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,359,202,767 : 5,505,267,376,945.50 = 5,505,267,376,945.50 : x
  2. Step 2: Convert to fraction form
    2,566,359,202,767/5,505,267,376,945.50 = 5,505,267,376,945.50/x
  3. Step 3: Cross multiply
    2,566,359,202,767x = 5,505,267,376,945.50 × 5,505,267,376,945.50
  4. Step 4: Simplify right side
    2,566,359,202,767x = 30,307,968,891,660,384,358,891,520
  5. Step 5: Solve for x
    x = 30,307,968,891,660,384,358,891,520/2,566,359,202,767
  6. Step 6: Final answer
    x = 11,809,714,267,193.35

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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.