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Finding the Third Proportional to 1,276,427,346 and 2,794,992,448

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Solution

The third proportional to 1,276,427,346 and 2,794,992,448 is: 6,120,193,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,427,346 : 2,794,992,448 = 2,794,992,448 : x
  2. Step 2: Convert to fraction form
    1,276,427,346/2,794,992,448 = 2,794,992,448/x
  3. Step 3: Cross multiply
    1,276,427,346x = 2,794,992,448 × 2,794,992,448
  4. Step 4: Simplify right side
    1,276,427,346x = 7,811,982,784,377,032,704
  5. Step 5: Solve for x
    x = 7,811,982,784,377,032,704/1,276,427,346
  6. Step 6: Final answer
    x = 6,120,193,843.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.