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Finding the Third Proportional to 5,402,978 and 11,529,124

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Solution

The third proportional to 5,402,978 and 11,529,124 is: 24,601,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402,978 : 11,529,124 = 11,529,124 : x
  2. Step 2: Convert to fraction form
    5,402,978/11,529,124 = 11,529,124/x
  3. Step 3: Cross multiply
    5,402,978x = 11,529,124 × 11,529,124
  4. Step 4: Simplify right side
    5,402,978x = 132,920,700,207,376
  5. Step 5: Solve for x
    x = 132,920,700,207,376/5,402,978
  6. Step 6: Final answer
    x = 24,601,377.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.