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Finding the Third Proportional to 2,587,198.50 and 5,627,412.50

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Solution

The third proportional to 2,587,198.50 and 5,627,412.50 is: 12,240,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,198.50 : 5,627,412.50 = 5,627,412.50 : x
  2. Step 2: Convert to fraction form
    2,587,198.50/5,627,412.50 = 5,627,412.50/x
  3. Step 3: Cross multiply
    2,587,198.50x = 5,627,412.50 × 5,627,412.50
  4. Step 4: Simplify right side
    2,587,198.50x = 31,667,771,445,156.25
  5. Step 5: Solve for x
    x = 31,667,771,445,156.25/2,587,198.50
  6. Step 6: Final answer
    x = 12,240,178.50

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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.