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Finding the Third Proportional to 11,747,280 and 24,127,008

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Solution

The third proportional to 11,747,280 and 24,127,008 is: 49,552,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747,280 : 24,127,008 = 24,127,008 : x
  2. Step 2: Convert to fraction form
    11,747,280/24,127,008 = 24,127,008/x
  3. Step 3: Cross multiply
    11,747,280x = 24,127,008 × 24,127,008
  4. Step 4: Simplify right side
    11,747,280x = 582,112,515,032,064
  5. Step 5: Solve for x
    x = 582,112,515,032,064/11,747,280
  6. Step 6: Final answer
    x = 49,552,961.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.