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Finding the Third Proportional to 2,530,184.63 and 5,509,614.75

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Solution

The third proportional to 2,530,184.63 and 5,509,614.75 is: 11,997,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530,184.63 : 5,509,614.75 = 5,509,614.75 : x
  2. Step 2: Convert to fraction form
    2,530,184.63/5,509,614.75 = 5,509,614.75/x
  3. Step 3: Cross multiply
    2,530,184.63x = 5,509,614.75 × 5,509,614.75
  4. Step 4: Simplify right side
    2,530,184.63x = 30,355,854,693,417.56
  5. Step 5: Solve for x
    x = 30,355,854,693,417.56/2,530,184.63
  6. Step 6: Final answer
    x = 11,997,486.03

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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.