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Finding the Third Proportional to 2,585,991.38 and 5,487,199.88

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Solution

The third proportional to 2,585,991.38 and 5,487,199.88 is: 11,643,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,991.38 : 5,487,199.88 = 5,487,199.88 : x
  2. Step 2: Convert to fraction form
    2,585,991.38/5,487,199.88 = 5,487,199.88/x
  3. Step 3: Cross multiply
    2,585,991.38x = 5,487,199.88 × 5,487,199.88
  4. Step 4: Simplify right side
    2,585,991.38x = 30,109,362,468,200.02
  5. Step 5: Solve for x
    x = 30,109,362,468,200.02/2,585,991.38
  6. Step 6: Final answer
    x = 11,643,257.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.