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Finding the Third Proportional to 12,407,813 and 27,264,793

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Solution

The third proportional to 12,407,813 and 27,264,793 is: 59,911,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407,813 : 27,264,793 = 27,264,793 : x
  2. Step 2: Convert to fraction form
    12,407,813/27,264,793 = 27,264,793/x
  3. Step 3: Cross multiply
    12,407,813x = 27,264,793 × 27,264,793
  4. Step 4: Simplify right side
    12,407,813x = 743,368,937,332,849
  5. Step 5: Solve for x
    x = 743,368,937,332,849/12,407,813
  6. Step 6: Final answer
    x = 59,911,358.86

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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.