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Finding the Third Proportional to 5,460,358.50 and 11,848,893.25

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Solution

The third proportional to 5,460,358.50 and 11,848,893.25 is: 25,711,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460,358.50 : 11,848,893.25 = 11,848,893.25 : x
  2. Step 2: Convert to fraction form
    5,460,358.50/11,848,893.25 = 11,848,893.25/x
  3. Step 3: Cross multiply
    5,460,358.50x = 11,848,893.25 × 11,848,893.25
  4. Step 4: Simplify right side
    5,460,358.50x = 140,396,271,249,895.56
  5. Step 5: Solve for x
    x = 140,396,271,249,895.56/5,460,358.50
  6. Step 6: Final answer
    x = 25,711,914.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.