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Finding the Third Proportional to 1,288,356,708,903.20 and 2,802,910,400,908.20

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Solution

The third proportional to 1,288,356,708,903.20 and 2,802,910,400,908.20 is: 6,097,928,206,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,356,708,903.20 : 2,802,910,400,908.20 = 2,802,910,400,908.20 : x
  2. Step 2: Convert to fraction form
    1,288,356,708,903.20/2,802,910,400,908.20 = 2,802,910,400,908.20/x
  3. Step 3: Cross multiply
    1,288,356,708,903.20x = 2,802,910,400,908.20 × 2,802,910,400,908.20
  4. Step 4: Simplify right side
    1,288,356,708,903.20x = 7,856,306,715,519,367,411,400,704
  5. Step 5: Solve for x
    x = 7,856,306,715,519,367,411,400,704/1,288,356,708,903.20
  6. Step 6: Final answer
    x = 6,097,928,206,705.72

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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.