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Finding the Third Proportional to 5,229,538.88 and 11,299,375.13

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Solution

The third proportional to 5,229,538.88 and 11,299,375.13 is: 24,414,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,538.88 : 11,299,375.13 = 11,299,375.13 : x
  2. Step 2: Convert to fraction form
    5,229,538.88/11,299,375.13 = 11,299,375.13/x
  3. Step 3: Cross multiply
    5,229,538.88x = 11,299,375.13 × 11,299,375.13
  4. Step 4: Simplify right side
    5,229,538.88x = 127,675,878,215,468.77
  5. Step 5: Solve for x
    x = 127,675,878,215,468.77/5,229,538.88
  6. Step 6: Final answer
    x = 24,414,366.40

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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.