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Finding the Third Proportional to 2,542,630.50 and 5,488,580.25

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Solution

The third proportional to 2,542,630.50 and 5,488,580.25 is: 11,847,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542,630.50 : 5,488,580.25 = 5,488,580.25 : x
  2. Step 2: Convert to fraction form
    2,542,630.50/5,488,580.25 = 5,488,580.25/x
  3. Step 3: Cross multiply
    2,542,630.50x = 5,488,580.25 × 5,488,580.25
  4. Step 4: Simplify right side
    2,542,630.50x = 30,124,513,160,690.06
  5. Step 5: Solve for x
    x = 30,124,513,160,690.06/2,542,630.50
  6. Step 6: Final answer
    x = 11,847,774.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.