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Finding the Third Proportional to 5,229,543.50 and 11,299,384

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Solution

The third proportional to 5,229,543.50 and 11,299,384 is: 24,414,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,543.50 : 11,299,384 = 11,299,384 : x
  2. Step 2: Convert to fraction form
    5,229,543.50/11,299,384 = 11,299,384/x
  3. Step 3: Cross multiply
    5,229,543.50x = 11,299,384 × 11,299,384
  4. Step 4: Simplify right side
    5,229,543.50x = 127,676,078,779,456
  5. Step 5: Solve for x
    x = 127,676,078,779,456/5,229,543.50
  6. Step 6: Final answer
    x = 24,414,383.16

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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.