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Finding the Third Proportional to 2,577,808.13 and 5,367,414.38

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Solution

The third proportional to 2,577,808.13 and 5,367,414.38 is: 11,175,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577,808.13 : 5,367,414.38 = 5,367,414.38 : x
  2. Step 2: Convert to fraction form
    2,577,808.13/5,367,414.38 = 5,367,414.38/x
  3. Step 3: Cross multiply
    2,577,808.13x = 5,367,414.38 × 5,367,414.38
  4. Step 4: Simplify right side
    2,577,808.13x = 28,809,137,072,956.64
  5. Step 5: Solve for x
    x = 28,809,137,072,956.64/2,577,808.13
  6. Step 6: Final answer
    x = 11,175,826.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.