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Finding the Third Proportional to 1,145,205,963,462 and 2,491,475,911,902

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Solution

The third proportional to 1,145,205,963,462 and 2,491,475,911,902 is: 5,420,380,628,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,205,963,462 : 2,491,475,911,902 = 2,491,475,911,902 : x
  2. Step 2: Convert to fraction form
    1,145,205,963,462/2,491,475,911,902 = 2,491,475,911,902/x
  3. Step 3: Cross multiply
    1,145,205,963,462x = 2,491,475,911,902 × 2,491,475,911,902
  4. Step 4: Simplify right side
    1,145,205,963,462x = 6,207,452,219,587,902,442,569,728
  5. Step 5: Solve for x
    x = 6,207,452,219,587,902,442,569,728/1,145,205,963,462
  6. Step 6: Final answer
    x = 5,420,380,628,147.05

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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.