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Finding the Third Proportional to 12,407,869 and 27,264,894

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Solution

The third proportional to 12,407,869 and 27,264,894 is: 59,911,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407,869 : 27,264,894 = 27,264,894 : x
  2. Step 2: Convert to fraction form
    12,407,869/27,264,894 = 27,264,894/x
  3. Step 3: Cross multiply
    12,407,869x = 27,264,894 × 27,264,894
  4. Step 4: Simplify right side
    12,407,869x = 743,374,444,831,236
  5. Step 5: Solve for x
    x = 743,374,444,831,236/12,407,869
  6. Step 6: Final answer
    x = 59,911,532.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.