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Finding the Third Proportional to 5,227,523 and 11,323,840

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Solution

The third proportional to 5,227,523 and 11,323,840 is: 24,529,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227,523 : 11,323,840 = 11,323,840 : x
  2. Step 2: Convert to fraction form
    5,227,523/11,323,840 = 11,323,840/x
  3. Step 3: Cross multiply
    5,227,523x = 11,323,840 × 11,323,840
  4. Step 4: Simplify right side
    5,227,523x = 128,229,352,345,600
  5. Step 5: Solve for x
    x = 128,229,352,345,600/5,227,523
  6. Step 6: Final answer
    x = 24,529,658.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.