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Finding the Third Proportional to 11,261,592 and 24,587,438.63

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Solution

The third proportional to 11,261,592 and 24,587,438.63 is: 53,681,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261,592 : 24,587,438.63 = 24,587,438.63 : x
  2. Step 2: Convert to fraction form
    11,261,592/24,587,438.63 = 24,587,438.63/x
  3. Step 3: Cross multiply
    11,261,592x = 24,587,438.63 × 24,587,438.63
  4. Step 4: Simplify right side
    11,261,592x = 604,542,138,138,141.88
  5. Step 5: Solve for x
    x = 604,542,138,138,141.88/11,261,592
  6. Step 6: Final answer
    x = 53,681,765.25

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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.