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Finding the Third Proportional to 1,228,026,888 and 2,671,216,288

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Solution

The third proportional to 1,228,026,888 and 2,671,216,288 is: 5,810,456,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,026,888 : 2,671,216,288 = 2,671,216,288 : x
  2. Step 2: Convert to fraction form
    1,228,026,888/2,671,216,288 = 2,671,216,288/x
  3. Step 3: Cross multiply
    1,228,026,888x = 2,671,216,288 × 2,671,216,288
  4. Step 4: Simplify right side
    1,228,026,888x = 7,135,396,457,276,498,944
  5. Step 5: Solve for x
    x = 7,135,396,457,276,498,944/1,228,026,888
  6. Step 6: Final answer
    x = 5,810,456,209.88

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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.