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Finding the Third Proportional to 11,051,129 and 23,247,447

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Solution

The third proportional to 11,051,129 and 23,247,447 is: 48,903,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051,129 : 23,247,447 = 23,247,447 : x
  2. Step 2: Convert to fraction form
    11,051,129/23,247,447 = 23,247,447/x
  3. Step 3: Cross multiply
    11,051,129x = 23,247,447 × 23,247,447
  4. Step 4: Simplify right side
    11,051,129x = 540,443,792,017,809
  5. Step 5: Solve for x
    x = 540,443,792,017,809/11,051,129
  6. Step 6: Final answer
    x = 48,903,943.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.