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Finding the Third Proportional to 2,064,393 and 4,857,103.50

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Solution

The third proportional to 2,064,393 and 4,857,103.50 is: 11,427,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,393 : 4,857,103.50 = 4,857,103.50 : x
  2. Step 2: Convert to fraction form
    2,064,393/4,857,103.50 = 4,857,103.50/x
  3. Step 3: Cross multiply
    2,064,393x = 4,857,103.50 × 4,857,103.50
  4. Step 4: Simplify right side
    2,064,393x = 23,591,454,409,712.25
  5. Step 5: Solve for x
    x = 23,591,454,409,712.25/2,064,393
  6. Step 6: Final answer
    x = 11,427,792.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.