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Finding the Third Proportional to 2,677,712.25 and 5,886,797.25

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Solution

The third proportional to 2,677,712.25 and 5,886,797.25 is: 12,941,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,712.25 : 5,886,797.25 = 5,886,797.25 : x
  2. Step 2: Convert to fraction form
    2,677,712.25/5,886,797.25 = 5,886,797.25/x
  3. Step 3: Cross multiply
    2,677,712.25x = 5,886,797.25 × 5,886,797.25
  4. Step 4: Simplify right side
    2,677,712.25x = 34,654,381,862,607.56
  5. Step 5: Solve for x
    x = 34,654,381,862,607.56/2,677,712.25
  6. Step 6: Final answer
    x = 12,941,787.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.